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Finding the Fourth Proportional to 691.80, 1,035.78 and 569.88

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Solution

The fourth proportional to 691.80, 1,035.78 and 569.88 is: 853.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.80 : 1,035.78 = 569.88 : x
  2. Step 2: Convert to fraction form
    691.80/1,035.78 = 569.88/x
  3. Step 3: Cross multiply
    691.80x = 1,035.78 × 569.88
  4. Step 4: Simplify right side
    691.80x = 590,270.31
  5. Step 5: Solve for x
    x = 590,270.31/691.80
  6. Step 6: Final answer
    x = 853.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.