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Finding the Fourth Proportional to 1,532.47, 2,297.71 and 655.55

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Solution

The fourth proportional to 1,532.47, 2,297.71 and 655.55 is: 982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.47 : 2,297.71 = 655.55 : x
  2. Step 2: Convert to fraction form
    1,532.47/2,297.71 = 655.55/x
  3. Step 3: Cross multiply
    1,532.47x = 2,297.71 × 655.55
  4. Step 4: Simplify right side
    1,532.47x = 1,506,252.30
  5. Step 5: Solve for x
    x = 1,506,252.30/1,532.47
  6. Step 6: Final answer
    x = 982.89

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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.