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Finding the Fourth Proportional to 752.80, 1,038.72 and 458.32

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Solution

The fourth proportional to 752.80, 1,038.72 and 458.32 is: 632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.80 : 1,038.72 = 458.32 : x
  2. Step 2: Convert to fraction form
    752.80/1,038.72 = 458.32/x
  3. Step 3: Cross multiply
    752.80x = 1,038.72 × 458.32
  4. Step 4: Simplify right side
    752.80x = 476,066.15
  5. Step 5: Solve for x
    x = 476,066.15/752.80
  6. Step 6: Final answer
    x = 632.39

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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.