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Finding the Fourth Proportional to 763.70, 1,147.10 and 456.16

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Solution

The fourth proportional to 763.70, 1,147.10 and 456.16 is: 685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.70 : 1,147.10 = 456.16 : x
  2. Step 2: Convert to fraction form
    763.70/1,147.10 = 456.16/x
  3. Step 3: Cross multiply
    763.70x = 1,147.10 × 456.16
  4. Step 4: Simplify right side
    763.70x = 523,261.14
  5. Step 5: Solve for x
    x = 523,261.14/763.70
  6. Step 6: Final answer
    x = 685.17

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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.