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Finding the Fourth Proportional to 922.05, 1,381.32 and 689.76

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Solution

The fourth proportional to 922.05, 1,381.32 and 689.76 is: 1,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.05 : 1,381.32 = 689.76 : x
  2. Step 2: Convert to fraction form
    922.05/1,381.32 = 689.76/x
  3. Step 3: Cross multiply
    922.05x = 1,381.32 × 689.76
  4. Step 4: Simplify right side
    922.05x = 952,779.28
  5. Step 5: Solve for x
    x = 952,779.28/922.05
  6. Step 6: Final answer
    x = 1,033.33

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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.