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Finding the Fourth Proportional to 860.16, 1,187.60 and 565.93

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Solution

The fourth proportional to 860.16, 1,187.60 and 565.93 is: 781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.16 : 1,187.60 = 565.93 : x
  2. Step 2: Convert to fraction form
    860.16/1,187.60 = 565.93/x
  3. Step 3: Cross multiply
    860.16x = 1,187.60 × 565.93
  4. Step 4: Simplify right side
    860.16x = 672,098.47
  5. Step 5: Solve for x
    x = 672,098.47/860.16
  6. Step 6: Final answer
    x = 781.36

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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.