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Finding the Fourth Proportional to 1,532.24, 2,298.90 and 666.44

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Solution

The fourth proportional to 1,532.24, 2,298.90 and 666.44 is: 999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.24 : 2,298.90 = 666.44 : x
  2. Step 2: Convert to fraction form
    1,532.24/2,298.90 = 666.44/x
  3. Step 3: Cross multiply
    1,532.24x = 2,298.90 × 666.44
  4. Step 4: Simplify right side
    1,532.24x = 1,532,078.92
  5. Step 5: Solve for x
    x = 1,532,078.92/1,532.24
  6. Step 6: Final answer
    x = 999.89

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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.