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Finding the Fourth Proportional to 860.61, 1,187.10 and 565.77

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Solution

The fourth proportional to 860.61, 1,187.10 and 565.77 is: 780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.61 : 1,187.10 = 565.77 : x
  2. Step 2: Convert to fraction form
    860.61/1,187.10 = 565.77/x
  3. Step 3: Cross multiply
    860.61x = 1,187.10 × 565.77
  4. Step 4: Simplify right side
    860.61x = 671,625.57
  5. Step 5: Solve for x
    x = 671,625.57/860.61
  6. Step 6: Final answer
    x = 780.41

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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.