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Finding the Fourth Proportional to 862.60, 1,189.95 and 564.02

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Solution

The fourth proportional to 862.60, 1,189.95 and 564.02 is: 778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.60 : 1,189.95 = 564.02 : x
  2. Step 2: Convert to fraction form
    862.60/1,189.95 = 564.02/x
  3. Step 3: Cross multiply
    862.60x = 1,189.95 × 564.02
  4. Step 4: Simplify right side
    862.60x = 671,155.60
  5. Step 5: Solve for x
    x = 671,155.60/862.60
  6. Step 6: Final answer
    x = 778.06

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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.