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Finding the Fourth Proportional to 685.54, 1,026.87 and 569.71

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Solution

The fourth proportional to 685.54, 1,026.87 and 569.71 is: 853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.54 : 1,026.87 = 569.71 : x
  2. Step 2: Convert to fraction form
    685.54/1,026.87 = 569.71/x
  3. Step 3: Cross multiply
    685.54x = 1,026.87 × 569.71
  4. Step 4: Simplify right side
    685.54x = 585,018.11
  5. Step 5: Solve for x
    x = 585,018.11/685.54
  6. Step 6: Final answer
    x = 853.37

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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.