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Finding the Fourth Proportional to 992.10, 1,486.98 and 472.20

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Solution

The fourth proportional to 992.10, 1,486.98 and 472.20 is: 707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.10 : 1,486.98 = 472.20 : x
  2. Step 2: Convert to fraction form
    992.10/1,486.98 = 472.20/x
  3. Step 3: Cross multiply
    992.10x = 1,486.98 × 472.20
  4. Step 4: Simplify right side
    992.10x = 702,151.96
  5. Step 5: Solve for x
    x = 702,151.96/992.10
  6. Step 6: Final answer
    x = 707.74

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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.