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Finding the Fourth Proportional to 783.66, 1,080.33 and 547.26

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Solution

The fourth proportional to 783.66, 1,080.33 and 547.26 is: 754.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.66 : 1,080.33 = 547.26 : x
  2. Step 2: Convert to fraction form
    783.66/1,080.33 = 547.26/x
  3. Step 3: Cross multiply
    783.66x = 1,080.33 × 547.26
  4. Step 4: Simplify right side
    783.66x = 591,221.40
  5. Step 5: Solve for x
    x = 591,221.40/783.66
  6. Step 6: Final answer
    x = 754.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.