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Finding the Fourth Proportional to 1,532.66, 2,299.10 and 437.11

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Solution

The fourth proportional to 1,532.66, 2,299.10 and 437.11 is: 655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.66 : 2,299.10 = 437.11 : x
  2. Step 2: Convert to fraction form
    1,532.66/2,299.10 = 437.11/x
  3. Step 3: Cross multiply
    1,532.66x = 2,299.10 × 437.11
  4. Step 4: Simplify right side
    1,532.66x = 1,004,959.60
  5. Step 5: Solve for x
    x = 1,004,959.60/1,532.66
  6. Step 6: Final answer
    x = 655.70

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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.