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Finding the Fourth Proportional to 781.68, 1,172.46 and 473.67

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Solution

The fourth proportional to 781.68, 1,172.46 and 473.67 is: 710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.68 : 1,172.46 = 473.67 : x
  2. Step 2: Convert to fraction form
    781.68/1,172.46 = 473.67/x
  3. Step 3: Cross multiply
    781.68x = 1,172.46 × 473.67
  4. Step 4: Simplify right side
    781.68x = 555,359.13
  5. Step 5: Solve for x
    x = 555,359.13/781.68
  6. Step 6: Final answer
    x = 710.47

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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.