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Finding the Fourth Proportional to 918.54, 1,377.68 and 456.17

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Solution

The fourth proportional to 918.54, 1,377.68 and 456.17 is: 684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.54 : 1,377.68 = 456.17 : x
  2. Step 2: Convert to fraction form
    918.54/1,377.68 = 456.17/x
  3. Step 3: Cross multiply
    918.54x = 1,377.68 × 456.17
  4. Step 4: Simplify right side
    918.54x = 628,447.12
  5. Step 5: Solve for x
    x = 628,447.12/918.54
  6. Step 6: Final answer
    x = 684.18

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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.