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Finding the Fourth Proportional to 1,138.32, 1,706.94 and 560.52

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Solution

The fourth proportional to 1,138.32, 1,706.94 and 560.52 is: 840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.32 : 1,706.94 = 560.52 : x
  2. Step 2: Convert to fraction form
    1,138.32/1,706.94 = 560.52/x
  3. Step 3: Cross multiply
    1,138.32x = 1,706.94 × 560.52
  4. Step 4: Simplify right side
    1,138.32x = 956,774.01
  5. Step 5: Solve for x
    x = 956,774.01/1,138.32
  6. Step 6: Final answer
    x = 840.51

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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.