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Finding the Fourth Proportional to 782.63, 1,080.02 and 472.13

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Solution

The fourth proportional to 782.63, 1,080.02 and 472.13 is: 651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.63 : 1,080.02 = 472.13 : x
  2. Step 2: Convert to fraction form
    782.63/1,080.02 = 472.13/x
  3. Step 3: Cross multiply
    782.63x = 1,080.02 × 472.13
  4. Step 4: Simplify right side
    782.63x = 509,909.84
  5. Step 5: Solve for x
    x = 509,909.84/782.63
  6. Step 6: Final answer
    x = 651.53

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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.