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Finding the Fourth Proportional to 1,565.12, 2,159.85 and 866.49

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Solution

The fourth proportional to 1,565.12, 2,159.85 and 866.49 is: 1,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.12 : 2,159.85 = 866.49 : x
  2. Step 2: Convert to fraction form
    1,565.12/2,159.85 = 866.49/x
  3. Step 3: Cross multiply
    1,565.12x = 2,159.85 × 866.49
  4. Step 4: Simplify right side
    1,565.12x = 1,871,491.68
  5. Step 5: Solve for x
    x = 1,871,491.68/1,565.12
  6. Step 6: Final answer
    x = 1,195.75

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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.