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Finding the Fourth Proportional to 1,565.64, 2,160.57 and 867

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Solution

The fourth proportional to 1,565.64, 2,160.57 and 867 is: 1,196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.64 : 2,160.57 = 867 : x
  2. Step 2: Convert to fraction form
    1,565.64/2,160.57 = 867/x
  3. Step 3: Cross multiply
    1,565.64x = 2,160.57 × 867
  4. Step 4: Simplify right side
    1,565.64x = 1,873,214.19
  5. Step 5: Solve for x
    x = 1,873,214.19/1,565.64
  6. Step 6: Final answer
    x = 1,196.45

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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.