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Finding the Fourth Proportional to 783.19, 1,080.92 and 472.87

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Solution

The fourth proportional to 783.19, 1,080.92 and 472.87 is: 652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.19 : 1,080.92 = 472.87 : x
  2. Step 2: Convert to fraction form
    783.19/1,080.92 = 472.87/x
  3. Step 3: Cross multiply
    783.19x = 1,080.92 × 472.87
  4. Step 4: Simplify right side
    783.19x = 511,131.35
  5. Step 5: Solve for x
    x = 511,131.35/783.19
  6. Step 6: Final answer
    x = 652.63

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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.