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Finding the Fourth Proportional to 752.24, 1,038.14 and 437.53

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Solution

The fourth proportional to 752.24, 1,038.14 and 437.53 is: 603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.24 : 1,038.14 = 437.53 : x
  2. Step 2: Convert to fraction form
    752.24/1,038.14 = 437.53/x
  3. Step 3: Cross multiply
    752.24x = 1,038.14 × 437.53
  4. Step 4: Simplify right side
    752.24x = 454,214.51
  5. Step 5: Solve for x
    x = 454,214.51/752.24
  6. Step 6: Final answer
    x = 603.82

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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.