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Finding the Fourth Proportional to 1,177.13, 1,766.54 and 948.77

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Solution

The fourth proportional to 1,177.13, 1,766.54 and 948.77 is: 1,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.13 : 1,766.54 = 948.77 : x
  2. Step 2: Convert to fraction form
    1,177.13/1,766.54 = 948.77/x
  3. Step 3: Cross multiply
    1,177.13x = 1,766.54 × 948.77
  4. Step 4: Simplify right side
    1,177.13x = 1,676,044.92
  5. Step 5: Solve for x
    x = 1,676,044.92/1,177.13
  6. Step 6: Final answer
    x = 1,423.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.