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Finding the Fourth Proportional to 642.22, 963.98 and 569.56

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Solution

The fourth proportional to 642.22, 963.98 and 569.56 is: 854.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.22 : 963.98 = 569.56 : x
  2. Step 2: Convert to fraction form
    642.22/963.98 = 569.56/x
  3. Step 3: Cross multiply
    642.22x = 963.98 × 569.56
  4. Step 4: Simplify right side
    642.22x = 549,044.45
  5. Step 5: Solve for x
    x = 549,044.45/642.22
  6. Step 6: Final answer
    x = 854.92

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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.