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Finding the Fourth Proportional to 1,565.11, 2,159.82 and 856.96

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Solution

The fourth proportional to 1,565.11, 2,159.82 and 856.96 is: 1,182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.11 : 2,159.82 = 856.96 : x
  2. Step 2: Convert to fraction form
    1,565.11/2,159.82 = 856.96/x
  3. Step 3: Cross multiply
    1,565.11x = 2,159.82 × 856.96
  4. Step 4: Simplify right side
    1,565.11x = 1,850,879.35
  5. Step 5: Solve for x
    x = 1,850,879.35/1,565.11
  6. Step 6: Final answer
    x = 1,182.59

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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.