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Finding the Fourth Proportional to 1,532.56, 2,299.25 and 437.02

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Solution

The fourth proportional to 1,532.56, 2,299.25 and 437.02 is: 655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.56 : 2,299.25 = 437.02 : x
  2. Step 2: Convert to fraction form
    1,532.56/2,299.25 = 437.02/x
  3. Step 3: Cross multiply
    1,532.56x = 2,299.25 × 437.02
  4. Step 4: Simplify right side
    1,532.56x = 1,004,818.24
  5. Step 5: Solve for x
    x = 1,004,818.24/1,532.56
  6. Step 6: Final answer
    x = 655.65

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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.