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Finding the Fourth Proportional to 788.88, 1,176.84 and 725.36

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Solution

The fourth proportional to 788.88, 1,176.84 and 725.36 is: 1,082.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.88 : 1,176.84 = 725.36 : x
  2. Step 2: Convert to fraction form
    788.88/1,176.84 = 725.36/x
  3. Step 3: Cross multiply
    788.88x = 1,176.84 × 725.36
  4. Step 4: Simplify right side
    788.88x = 853,632.66
  5. Step 5: Solve for x
    x = 853,632.66/788.88
  6. Step 6: Final answer
    x = 1,082.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.