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Finding the Fourth Proportional to 1,292.30, 1,941.53 and 830.97

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Solution

The fourth proportional to 1,292.30, 1,941.53 and 830.97 is: 1,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.30 : 1,941.53 = 830.97 : x
  2. Step 2: Convert to fraction form
    1,292.30/1,941.53 = 830.97/x
  3. Step 3: Cross multiply
    1,292.30x = 1,941.53 × 830.97
  4. Step 4: Simplify right side
    1,292.30x = 1,613,349.03
  5. Step 5: Solve for x
    x = 1,613,349.03/1,292.30
  6. Step 6: Final answer
    x = 1,248.44

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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.