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Finding the Fourth Proportional to 788.38, 1,087.89 and 473.74

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Solution

The fourth proportional to 788.38, 1,087.89 and 473.74 is: 653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.38 : 1,087.89 = 473.74 : x
  2. Step 2: Convert to fraction form
    788.38/1,087.89 = 473.74/x
  3. Step 3: Cross multiply
    788.38x = 1,087.89 × 473.74
  4. Step 4: Simplify right side
    788.38x = 515,377.01
  5. Step 5: Solve for x
    x = 515,377.01/788.38
  6. Step 6: Final answer
    x = 653.72

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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.