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Finding the Fourth Proportional to 1,134.08, 1,565.10 and 853.82

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Solution

The fourth proportional to 1,134.08, 1,565.10 and 853.82 is: 1,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.08 : 1,565.10 = 853.82 : x
  2. Step 2: Convert to fraction form
    1,134.08/1,565.10 = 853.82/x
  3. Step 3: Cross multiply
    1,134.08x = 1,565.10 × 853.82
  4. Step 4: Simplify right side
    1,134.08x = 1,336,304.92
  5. Step 5: Solve for x
    x = 1,336,304.92/1,134.08
  6. Step 6: Final answer
    x = 1,178.32

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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.