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Finding the Fourth Proportional to 952.97, 1,430.17 and 708.76

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Solution

The fourth proportional to 952.97, 1,430.17 and 708.76 is: 1,063.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.97 : 1,430.17 = 708.76 : x
  2. Step 2: Convert to fraction form
    952.97/1,430.17 = 708.76/x
  3. Step 3: Cross multiply
    952.97x = 1,430.17 × 708.76
  4. Step 4: Simplify right side
    952.97x = 1,013,641.94
  5. Step 5: Solve for x
    x = 1,013,641.94/952.97
  6. Step 6: Final answer
    x = 1,063.66

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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.