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Finding the Fourth Proportional to 922.43, 1,267.71 and 830.16

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Solution

The fourth proportional to 922.43, 1,267.71 and 830.16 is: 1,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.43 : 1,267.71 = 830.16 : x
  2. Step 2: Convert to fraction form
    922.43/1,267.71 = 830.16/x
  3. Step 3: Cross multiply
    922.43x = 1,267.71 × 830.16
  4. Step 4: Simplify right side
    922.43x = 1,052,402.13
  5. Step 5: Solve for x
    x = 1,052,402.13/922.43
  6. Step 6: Final answer
    x = 1,140.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.