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Finding the Fourth Proportional to 1,134.50, 1,565.79 and 668.66

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Solution

The fourth proportional to 1,134.50, 1,565.79 and 668.66 is: 922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.50 : 1,565.79 = 668.66 : x
  2. Step 2: Convert to fraction form
    1,134.50/1,565.79 = 668.66/x
  3. Step 3: Cross multiply
    1,134.50x = 1,565.79 × 668.66
  4. Step 4: Simplify right side
    1,134.50x = 1,046,981.14
  5. Step 5: Solve for x
    x = 1,046,981.14/1,134.50
  6. Step 6: Final answer
    x = 922.86

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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.