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Finding the Fourth Proportional to 1,134.76, 1,702.32 and 557.68

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Solution

The fourth proportional to 1,134.76, 1,702.32 and 557.68 is: 836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.76 : 1,702.32 = 557.68 : x
  2. Step 2: Convert to fraction form
    1,134.76/1,702.32 = 557.68/x
  3. Step 3: Cross multiply
    1,134.76x = 1,702.32 × 557.68
  4. Step 4: Simplify right side
    1,134.76x = 949,349.82
  5. Step 5: Solve for x
    x = 949,349.82/1,134.76
  6. Step 6: Final answer
    x = 836.61

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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.