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Finding the Fourth Proportional to 1,532.05, 2,296.72 and 557.97

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Solution

The fourth proportional to 1,532.05, 2,296.72 and 557.97 is: 836.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.05 : 2,296.72 = 557.97 : x
  2. Step 2: Convert to fraction form
    1,532.05/2,296.72 = 557.97/x
  3. Step 3: Cross multiply
    1,532.05x = 2,296.72 × 557.97
  4. Step 4: Simplify right side
    1,532.05x = 1,281,500.86
  5. Step 5: Solve for x
    x = 1,281,500.86/1,532.05
  6. Step 6: Final answer
    x = 836.46

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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.