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Finding the Fourth Proportional to 718.86, 992.10 and 470.88

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Solution

The fourth proportional to 718.86, 992.10 and 470.88 is: 649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.86 : 992.10 = 470.88 : x
  2. Step 2: Convert to fraction form
    718.86/992.10 = 470.88/x
  3. Step 3: Cross multiply
    718.86x = 992.10 × 470.88
  4. Step 4: Simplify right side
    718.86x = 467,160.05
  5. Step 5: Solve for x
    x = 467,160.05/718.86
  6. Step 6: Final answer
    x = 649.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.