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Finding the Fourth Proportional to 1,028.96, 1,420.10 and 586.76

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Solution

The fourth proportional to 1,028.96, 1,420.10 and 586.76 is: 809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.96 : 1,420.10 = 586.76 : x
  2. Step 2: Convert to fraction form
    1,028.96/1,420.10 = 586.76/x
  3. Step 3: Cross multiply
    1,028.96x = 1,420.10 × 586.76
  4. Step 4: Simplify right side
    1,028.96x = 833,257.88
  5. Step 5: Solve for x
    x = 833,257.88/1,028.96
  6. Step 6: Final answer
    x = 809.81

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.