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Finding the Fourth Proportional to 1,207.68, 1,812.32 and 477.76

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Solution

The fourth proportional to 1,207.68, 1,812.32 and 477.76 is: 716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.68 : 1,812.32 = 477.76 : x
  2. Step 2: Convert to fraction form
    1,207.68/1,812.32 = 477.76/x
  3. Step 3: Cross multiply
    1,207.68x = 1,812.32 × 477.76
  4. Step 4: Simplify right side
    1,207.68x = 865,854.00
  5. Step 5: Solve for x
    x = 865,854.00/1,207.68
  6. Step 6: Final answer
    x = 716.96

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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.