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Finding the Fourth Proportional to 942.58, 1,412.85 and 577.61

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Solution

The fourth proportional to 942.58, 1,412.85 and 577.61 is: 865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.58 : 1,412.85 = 577.61 : x
  2. Step 2: Convert to fraction form
    942.58/1,412.85 = 577.61/x
  3. Step 3: Cross multiply
    942.58x = 1,412.85 × 577.61
  4. Step 4: Simplify right side
    942.58x = 816,076.29
  5. Step 5: Solve for x
    x = 816,076.29/942.58
  6. Step 6: Final answer
    x = 865.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.