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Finding the Fourth Proportional to 1,565.83, 2,160.77 and 857.68

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Solution

The fourth proportional to 1,565.83, 2,160.77 and 857.68 is: 1,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.83 : 2,160.77 = 857.68 : x
  2. Step 2: Convert to fraction form
    1,565.83/2,160.77 = 857.68/x
  3. Step 3: Cross multiply
    1,565.83x = 2,160.77 × 857.68
  4. Step 4: Simplify right side
    1,565.83x = 1,853,247.58
  5. Step 5: Solve for x
    x = 1,853,247.58/1,565.83
  6. Step 6: Final answer
    x = 1,183.55

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1.5x scale

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.