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Finding the Fourth Proportional to 766.88, 1,055.76 and 591.92

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Solution

The fourth proportional to 766.88, 1,055.76 and 591.92 is: 814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.88 : 1,055.76 = 591.92 : x
  2. Step 2: Convert to fraction form
    766.88/1,055.76 = 591.92/x
  3. Step 3: Cross multiply
    766.88x = 1,055.76 × 591.92
  4. Step 4: Simplify right side
    766.88x = 624,925.46
  5. Step 5: Solve for x
    x = 624,925.46/766.88
  6. Step 6: Final answer
    x = 814.89

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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.