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Finding the Fourth Proportional to 782.80, 1,080.36 and 468.16

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Solution

The fourth proportional to 782.80, 1,080.36 and 468.16 is: 646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.80 : 1,080.36 = 468.16 : x
  2. Step 2: Convert to fraction form
    782.80/1,080.36 = 468.16/x
  3. Step 3: Cross multiply
    782.80x = 1,080.36 × 468.16
  4. Step 4: Simplify right side
    782.80x = 505,781.34
  5. Step 5: Solve for x
    x = 505,781.34/782.80
  6. Step 6: Final answer
    x = 646.12

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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.