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Finding the Fourth Proportional to 1,137.92, 1,707.06 and 560.76

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Solution

The fourth proportional to 1,137.92, 1,707.06 and 560.76 is: 841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.92 : 1,707.06 = 560.76 : x
  2. Step 2: Convert to fraction form
    1,137.92/1,707.06 = 560.76/x
  3. Step 3: Cross multiply
    1,137.92x = 1,707.06 × 560.76
  4. Step 4: Simplify right side
    1,137.92x = 957,250.97
  5. Step 5: Solve for x
    x = 957,250.97/1,137.92
  6. Step 6: Final answer
    x = 841.23

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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.