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Finding the Fourth Proportional to 1,078.18, 1,615.65 and 590.56

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Solution

The fourth proportional to 1,078.18, 1,615.65 and 590.56 is: 884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.18 : 1,615.65 = 590.56 : x
  2. Step 2: Convert to fraction form
    1,078.18/1,615.65 = 590.56/x
  3. Step 3: Cross multiply
    1,078.18x = 1,615.65 × 590.56
  4. Step 4: Simplify right side
    1,078.18x = 954,138.26
  5. Step 5: Solve for x
    x = 954,138.26/1,078.18
  6. Step 6: Final answer
    x = 884.95

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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.