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Finding the Fourth Proportional to 922.29, 1,272.24 and 585.57

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Solution

The fourth proportional to 922.29, 1,272.24 and 585.57 is: 807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.29 : 1,272.24 = 585.57 : x
  2. Step 2: Convert to fraction form
    922.29/1,272.24 = 585.57/x
  3. Step 3: Cross multiply
    922.29x = 1,272.24 × 585.57
  4. Step 4: Simplify right side
    922.29x = 744,985.58
  5. Step 5: Solve for x
    x = 744,985.58/922.29
  6. Step 6: Final answer
    x = 807.76

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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.