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Finding the Fourth Proportional to 918.66, 1,266.88 and 587.19

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Solution

The fourth proportional to 918.66, 1,266.88 and 587.19 is: 809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.66 : 1,266.88 = 587.19 : x
  2. Step 2: Convert to fraction form
    918.66/1,266.88 = 587.19/x
  3. Step 3: Cross multiply
    918.66x = 1,266.88 × 587.19
  4. Step 4: Simplify right side
    918.66x = 743,899.27
  5. Step 5: Solve for x
    x = 743,899.27/918.66
  6. Step 6: Final answer
    x = 809.77

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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.