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Finding the Fourth Proportional to 783.88, 1,166.30 and 781.04

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Solution

The fourth proportional to 783.88, 1,166.30 and 781.04 is: 1,162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.88 : 1,166.30 = 781.04 : x
  2. Step 2: Convert to fraction form
    783.88/1,166.30 = 781.04/x
  3. Step 3: Cross multiply
    783.88x = 1,166.30 × 781.04
  4. Step 4: Simplify right side
    783.88x = 910,928.89
  5. Step 5: Solve for x
    x = 910,928.89/783.88
  6. Step 6: Final answer
    x = 1,162.08

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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.