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Finding the Fourth Proportional to 738.44, 1,107.48 and 463.52

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Solution

The fourth proportional to 738.44, 1,107.48 and 463.52 is: 695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.44 : 1,107.48 = 463.52 : x
  2. Step 2: Convert to fraction form
    738.44/1,107.48 = 463.52/x
  3. Step 3: Cross multiply
    738.44x = 1,107.48 × 463.52
  4. Step 4: Simplify right side
    738.44x = 513,339.13
  5. Step 5: Solve for x
    x = 513,339.13/738.44
  6. Step 6: Final answer
    x = 695.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.