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Finding the Fourth Proportional to 1,565.58, 2,160.50 and 866.95

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Solution

The fourth proportional to 1,565.58, 2,160.50 and 866.95 is: 1,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.58 : 2,160.50 = 866.95 : x
  2. Step 2: Convert to fraction form
    1,565.58/2,160.50 = 866.95/x
  3. Step 3: Cross multiply
    1,565.58x = 2,160.50 × 866.95
  4. Step 4: Simplify right side
    1,565.58x = 1,873,050.33
  5. Step 5: Solve for x
    x = 1,873,050.33/1,565.58
  6. Step 6: Final answer
    x = 1,196.40

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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.