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Finding the Fourth Proportional to 918.24, 1,267.85 and 586.85

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Solution

The fourth proportional to 918.24, 1,267.85 and 586.85 is: 810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.24 : 1,267.85 = 586.85 : x
  2. Step 2: Convert to fraction form
    918.24/1,267.85 = 586.85/x
  3. Step 3: Cross multiply
    918.24x = 1,267.85 × 586.85
  4. Step 4: Simplify right side
    918.24x = 744,032.90
  5. Step 5: Solve for x
    x = 744,032.90/918.24
  6. Step 6: Final answer
    x = 810.28

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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.