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Finding the Fourth Proportional to 1,028.36, 1,419.34 and 586.24

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Solution

The fourth proportional to 1,028.36, 1,419.34 and 586.24 is: 809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.36 : 1,419.34 = 586.24 : x
  2. Step 2: Convert to fraction form
    1,028.36/1,419.34 = 586.24/x
  3. Step 3: Cross multiply
    1,028.36x = 1,419.34 × 586.24
  4. Step 4: Simplify right side
    1,028.36x = 832,073.88
  5. Step 5: Solve for x
    x = 832,073.88/1,028.36
  6. Step 6: Final answer
    x = 809.13

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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.