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Finding the Fourth Proportional to 782.89, 1,080.51 and 468.16

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Solution

The fourth proportional to 782.89, 1,080.51 and 468.16 is: 646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.89 : 1,080.51 = 468.16 : x
  2. Step 2: Convert to fraction form
    782.89/1,080.51 = 468.16/x
  3. Step 3: Cross multiply
    782.89x = 1,080.51 × 468.16
  4. Step 4: Simplify right side
    782.89x = 505,853.18
  5. Step 5: Solve for x
    x = 505,853.18/782.89
  6. Step 6: Final answer
    x = 646.14

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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.