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Finding the Fourth Proportional to 752.29, 1,038.74 and 586.22

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Solution

The fourth proportional to 752.29, 1,038.74 and 586.22 is: 809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.29 : 1,038.74 = 586.22 : x
  2. Step 2: Convert to fraction form
    752.29/1,038.74 = 586.22/x
  3. Step 3: Cross multiply
    752.29x = 1,038.74 × 586.22
  4. Step 4: Simplify right side
    752.29x = 608,930.22
  5. Step 5: Solve for x
    x = 608,930.22/752.29
  6. Step 6: Final answer
    x = 809.43

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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.