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Finding the Fourth Proportional to 738.16, 1,108.06 and 463.56

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Solution

The fourth proportional to 738.16, 1,108.06 and 463.56 is: 695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.16 : 1,108.06 = 463.56 : x
  2. Step 2: Convert to fraction form
    738.16/1,108.06 = 463.56/x
  3. Step 3: Cross multiply
    738.16x = 1,108.06 × 463.56
  4. Step 4: Simplify right side
    738.16x = 513,652.29
  5. Step 5: Solve for x
    x = 513,652.29/738.16
  6. Step 6: Final answer
    x = 695.85

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Why These Related Problems?

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