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Finding the Fourth Proportional to 1,134.34, 1,565.49 and 668.50

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Solution

The fourth proportional to 1,134.34, 1,565.49 and 668.50 is: 922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.34 : 1,565.49 = 668.50 : x
  2. Step 2: Convert to fraction form
    1,134.34/1,565.49 = 668.50/x
  3. Step 3: Cross multiply
    1,134.34x = 1,565.49 × 668.50
  4. Step 4: Simplify right side
    1,134.34x = 1,046,530.07
  5. Step 5: Solve for x
    x = 1,046,530.07/1,134.34
  6. Step 6: Final answer
    x = 922.59

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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.