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Finding the Fourth Proportional to 918.42, 1,267.08 and 587.00

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Solution

The fourth proportional to 918.42, 1,267.08 and 587.00 is: 809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.42 : 1,267.08 = 587.00 : x
  2. Step 2: Convert to fraction form
    918.42/1,267.08 = 587.00/x
  3. Step 3: Cross multiply
    918.42x = 1,267.08 × 587.00
  4. Step 4: Simplify right side
    918.42x = 743,769.62
  5. Step 5: Solve for x
    x = 743,769.62/918.42
  6. Step 6: Final answer
    x = 809.84

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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.