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Finding the Fourth Proportional to 1,081.64, 1,621.50 and 918.17

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Solution

The fourth proportional to 1,081.64, 1,621.50 and 918.17 is: 1,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.64 : 1,621.50 = 918.17 : x
  2. Step 2: Convert to fraction form
    1,081.64/1,621.50 = 918.17/x
  3. Step 3: Cross multiply
    1,081.64x = 1,621.50 × 918.17
  4. Step 4: Simplify right side
    1,081.64x = 1,488,804.55
  5. Step 5: Solve for x
    x = 1,488,804.55/1,081.64
  6. Step 6: Final answer
    x = 1,376.44

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Why These Related Problems?

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