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Finding the Fourth Proportional to 782.83, 1,080.21 and 468.01

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Solution

The fourth proportional to 782.83, 1,080.21 and 468.01 is: 645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.83 : 1,080.21 = 468.01 : x
  2. Step 2: Convert to fraction form
    782.83/1,080.21 = 468.01/x
  3. Step 3: Cross multiply
    782.83x = 1,080.21 × 468.01
  4. Step 4: Simplify right side
    782.83x = 505,549.08
  5. Step 5: Solve for x
    x = 505,549.08/782.83
  6. Step 6: Final answer
    x = 645.80

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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.