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Finding the Fourth Proportional to 922.25, 1,272.13 and 568.35

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Solution

The fourth proportional to 922.25, 1,272.13 and 568.35 is: 783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.25 : 1,272.13 = 568.35 : x
  2. Step 2: Convert to fraction form
    922.25/1,272.13 = 568.35/x
  3. Step 3: Cross multiply
    922.25x = 1,272.13 × 568.35
  4. Step 4: Simplify right side
    922.25x = 723,013.66
  5. Step 5: Solve for x
    x = 723,013.66/922.25
  6. Step 6: Final answer
    x = 783.96

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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.