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Finding the Fourth Proportional to 1,437.39, 2,154.05 and 655.47

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Solution

The fourth proportional to 1,437.39, 2,154.05 and 655.47 is: 982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.39 : 2,154.05 = 655.47 : x
  2. Step 2: Convert to fraction form
    1,437.39/2,154.05 = 655.47/x
  3. Step 3: Cross multiply
    1,437.39x = 2,154.05 × 655.47
  4. Step 4: Simplify right side
    1,437.39x = 1,411,915.15
  5. Step 5: Solve for x
    x = 1,411,915.15/1,437.39
  6. Step 6: Final answer
    x = 982.28

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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.