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Finding the Fourth Proportional to 918.08, 1,377.92 and 456.20

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Solution

The fourth proportional to 918.08, 1,377.92 and 456.20 is: 684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.08 : 1,377.92 = 456.20 : x
  2. Step 2: Convert to fraction form
    918.08/1,377.92 = 456.20/x
  3. Step 3: Cross multiply
    918.08x = 1,377.92 × 456.20
  4. Step 4: Simplify right side
    918.08x = 628,607.10
  5. Step 5: Solve for x
    x = 628,607.10/918.08
  6. Step 6: Final answer
    x = 684.70

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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.