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Finding the Fourth Proportional to 1,218.69, 1,681.78 and 659.15

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Solution

The fourth proportional to 1,218.69, 1,681.78 and 659.15 is: 909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.69 : 1,681.78 = 659.15 : x
  2. Step 2: Convert to fraction form
    1,218.69/1,681.78 = 659.15/x
  3. Step 3: Cross multiply
    1,218.69x = 1,681.78 × 659.15
  4. Step 4: Simplify right side
    1,218.69x = 1,108,553.94
  5. Step 5: Solve for x
    x = 1,108,553.94/1,218.69
  6. Step 6: Final answer
    x = 909.63

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