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Finding the Fourth Proportional to 918.38, 1,267.98 and 624.08

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Solution

The fourth proportional to 918.38, 1,267.98 and 624.08 is: 861.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.38 : 1,267.98 = 624.08 : x
  2. Step 2: Convert to fraction form
    918.38/1,267.98 = 624.08/x
  3. Step 3: Cross multiply
    918.38x = 1,267.98 × 624.08
  4. Step 4: Simplify right side
    918.38x = 791,320.96
  5. Step 5: Solve for x
    x = 791,320.96/918.38
  6. Step 6: Final answer
    x = 861.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.