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Finding the Fourth Proportional to 918.68, 1,267.17 and 569

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Solution

The fourth proportional to 918.68, 1,267.17 and 569 is: 784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.68 : 1,267.17 = 569 : x
  2. Step 2: Convert to fraction form
    918.68/1,267.17 = 569/x
  3. Step 3: Cross multiply
    918.68x = 1,267.17 × 569
  4. Step 4: Simplify right side
    918.68x = 721,019.73
  5. Step 5: Solve for x
    x = 721,019.73/918.68
  6. Step 6: Final answer
    x = 784.84

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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.