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Finding the Fourth Proportional to 780.92, 1,175.68 and 712.88

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Solution

The fourth proportional to 780.92, 1,175.68 and 712.88 is: 1,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.92 : 1,175.68 = 712.88 : x
  2. Step 2: Convert to fraction form
    780.92/1,175.68 = 712.88/x
  3. Step 3: Cross multiply
    780.92x = 1,175.68 × 712.88
  4. Step 4: Simplify right side
    780.92x = 838,118.76
  5. Step 5: Solve for x
    x = 838,118.76/780.92
  6. Step 6: Final answer
    x = 1,073.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.