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Finding the Fourth Proportional to 918.39, 1,267.02 and 586.65

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Solution

The fourth proportional to 918.39, 1,267.02 and 586.65 is: 809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.39 : 1,267.02 = 586.65 : x
  2. Step 2: Convert to fraction form
    918.39/1,267.02 = 586.65/x
  3. Step 3: Cross multiply
    918.39x = 1,267.02 × 586.65
  4. Step 4: Simplify right side
    918.39x = 743,297.28
  5. Step 5: Solve for x
    x = 743,297.28/918.39
  6. Step 6: Final answer
    x = 809.35

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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.