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Finding the Fourth Proportional to 782.10, 1,172.61 and 538.02

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Solution

The fourth proportional to 782.10, 1,172.61 and 538.02 is: 806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.10 : 1,172.61 = 538.02 : x
  2. Step 2: Convert to fraction form
    782.10/1,172.61 = 538.02/x
  3. Step 3: Cross multiply
    782.10x = 1,172.61 × 538.02
  4. Step 4: Simplify right side
    782.10x = 630,887.63
  5. Step 5: Solve for x
    x = 630,887.63/782.10
  6. Step 6: Final answer
    x = 806.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.