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Finding the Fourth Proportional to 992.15, 1,487.24 and 471.23

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Solution

The fourth proportional to 992.15, 1,487.24 and 471.23 is: 706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.15 : 1,487.24 = 471.23 : x
  2. Step 2: Convert to fraction form
    992.15/1,487.24 = 471.23/x
  3. Step 3: Cross multiply
    992.15x = 1,487.24 × 471.23
  4. Step 4: Simplify right side
    992.15x = 700,829.75
  5. Step 5: Solve for x
    x = 700,829.75/992.15
  6. Step 6: Final answer
    x = 706.38

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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.