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Finding the Fourth Proportional to 752.07, 1,038.18 and 457.44

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Solution

The fourth proportional to 752.07, 1,038.18 and 457.44 is: 631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.07 : 1,038.18 = 457.44 : x
  2. Step 2: Convert to fraction form
    752.07/1,038.18 = 457.44/x
  3. Step 3: Cross multiply
    752.07x = 1,038.18 × 457.44
  4. Step 4: Simplify right side
    752.07x = 474,905.06
  5. Step 5: Solve for x
    x = 474,905.06/752.07
  6. Step 6: Final answer
    x = 631.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.