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Finding the Fourth Proportional to 1,306.31, 1,956.45 and 785.16

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Solution

The fourth proportional to 1,306.31, 1,956.45 and 785.16 is: 1,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.31 : 1,956.45 = 785.16 : x
  2. Step 2: Convert to fraction form
    1,306.31/1,956.45 = 785.16/x
  3. Step 3: Cross multiply
    1,306.31x = 1,956.45 × 785.16
  4. Step 4: Simplify right side
    1,306.31x = 1,536,122.36
  5. Step 5: Solve for x
    x = 1,536,122.36/1,306.31
  6. Step 6: Final answer
    x = 1,175.92

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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.