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Finding the Fourth Proportional to 860.76, 1,187.28 and 566.10

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Solution

The fourth proportional to 860.76, 1,187.28 and 566.10 is: 780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.76 : 1,187.28 = 566.10 : x
  2. Step 2: Convert to fraction form
    860.76/1,187.28 = 566.10/x
  3. Step 3: Cross multiply
    860.76x = 1,187.28 × 566.10
  4. Step 4: Simplify right side
    860.76x = 672,119.21
  5. Step 5: Solve for x
    x = 672,119.21/860.76
  6. Step 6: Final answer
    x = 780.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.