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Finding the Fourth Proportional to 1,046.58, 1,560.72 and 917.18

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Solution

The fourth proportional to 1,046.58, 1,560.72 and 917.18 is: 1,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.58 : 1,560.72 = 917.18 : x
  2. Step 2: Convert to fraction form
    1,046.58/1,560.72 = 917.18/x
  3. Step 3: Cross multiply
    1,046.58x = 1,560.72 × 917.18
  4. Step 4: Simplify right side
    1,046.58x = 1,431,461.17
  5. Step 5: Solve for x
    x = 1,431,461.17/1,046.58
  6. Step 6: Final answer
    x = 1,367.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.