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Finding the Fourth Proportional to 752.84, 1,038.60 and 556.28

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Solution

The fourth proportional to 752.84, 1,038.60 and 556.28 is: 767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.84 : 1,038.60 = 556.28 : x
  2. Step 2: Convert to fraction form
    752.84/1,038.60 = 556.28/x
  3. Step 3: Cross multiply
    752.84x = 1,038.60 × 556.28
  4. Step 4: Simplify right side
    752.84x = 577,752.41
  5. Step 5: Solve for x
    x = 577,752.41/752.84
  6. Step 6: Final answer
    x = 767.43

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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.