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Finding the Fourth Proportional to 1,531.96, 2,298.06 and 557.80

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Solution

The fourth proportional to 1,531.96, 2,298.06 and 557.80 is: 836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.96 : 2,298.06 = 557.80 : x
  2. Step 2: Convert to fraction form
    1,531.96/2,298.06 = 557.80/x
  3. Step 3: Cross multiply
    1,531.96x = 2,298.06 × 557.80
  4. Step 4: Simplify right side
    1,531.96x = 1,281,857.87
  5. Step 5: Solve for x
    x = 1,281,857.87/1,531.96
  6. Step 6: Final answer
    x = 836.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.