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Finding the Fourth Proportional to 922.33, 1,272.71 and 568.19

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Solution

The fourth proportional to 922.33, 1,272.71 and 568.19 is: 784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.33 : 1,272.71 = 568.19 : x
  2. Step 2: Convert to fraction form
    922.33/1,272.71 = 568.19/x
  3. Step 3: Cross multiply
    922.33x = 1,272.71 × 568.19
  4. Step 4: Simplify right side
    922.33x = 723,145.70
  5. Step 5: Solve for x
    x = 723,145.70/922.33
  6. Step 6: Final answer
    x = 784.04

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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.