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Finding the Fourth Proportional to 1,076.76, 1,617.98 and 590.15

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Solution

The fourth proportional to 1,076.76, 1,617.98 and 590.15 is: 886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.76 : 1,617.98 = 590.15 : x
  2. Step 2: Convert to fraction form
    1,076.76/1,617.98 = 590.15/x
  3. Step 3: Cross multiply
    1,076.76x = 1,617.98 × 590.15
  4. Step 4: Simplify right side
    1,076.76x = 954,851.99
  5. Step 5: Solve for x
    x = 954,851.99/1,076.76
  6. Step 6: Final answer
    x = 886.78

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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.