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Finding the Fourth Proportional to 1,177.86, 1,766.79 and 601.14

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Solution

The fourth proportional to 1,177.86, 1,766.79 and 601.14 is: 901.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.86 : 1,766.79 = 601.14 : x
  2. Step 2: Convert to fraction form
    1,177.86/1,766.79 = 601.14/x
  3. Step 3: Cross multiply
    1,177.86x = 1,766.79 × 601.14
  4. Step 4: Simplify right side
    1,177.86x = 1,062,088.14
  5. Step 5: Solve for x
    x = 1,062,088.14/1,177.86
  6. Step 6: Final answer
    x = 901.71

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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.