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Finding the Fourth Proportional to 1,028.93, 1,419.95 and 586.76

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Solution

The fourth proportional to 1,028.93, 1,419.95 and 586.76 is: 809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.93 : 1,419.95 = 586.76 : x
  2. Step 2: Convert to fraction form
    1,028.93/1,419.95 = 586.76/x
  3. Step 3: Cross multiply
    1,028.93x = 1,419.95 × 586.76
  4. Step 4: Simplify right side
    1,028.93x = 833,164.23
  5. Step 5: Solve for x
    x = 833,164.23/1,028.93
  6. Step 6: Final answer
    x = 809.74

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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.