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Finding the Fourth Proportional to 1,134.64, 1,701.60 and 557.92

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Solution

The fourth proportional to 1,134.64, 1,701.60 and 557.92 is: 836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.64 : 1,701.60 = 557.92 : x
  2. Step 2: Convert to fraction form
    1,134.64/1,701.60 = 557.92/x
  3. Step 3: Cross multiply
    1,134.64x = 1,701.60 × 557.92
  4. Step 4: Simplify right side
    1,134.64x = 949,356.67
  5. Step 5: Solve for x
    x = 949,356.67/1,134.64
  6. Step 6: Final answer
    x = 836.70

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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.