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Finding the Fourth Proportional to 992.61, 1,488.42 and 437.49

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Solution

The fourth proportional to 992.61, 1,488.42 and 437.49 is: 656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.61 : 1,488.42 = 437.49 : x
  2. Step 2: Convert to fraction form
    992.61/1,488.42 = 437.49/x
  3. Step 3: Cross multiply
    992.61x = 1,488.42 × 437.49
  4. Step 4: Simplify right side
    992.61x = 651,168.87
  5. Step 5: Solve for x
    x = 651,168.87/992.61
  6. Step 6: Final answer
    x = 656.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.