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Finding the Fourth Proportional to 782.57, 1,173.76 and 490.10

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Solution

The fourth proportional to 782.57, 1,173.76 and 490.10 is: 735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.57 : 1,173.76 = 490.10 : x
  2. Step 2: Convert to fraction form
    782.57/1,173.76 = 490.10/x
  3. Step 3: Cross multiply
    782.57x = 1,173.76 × 490.10
  4. Step 4: Simplify right side
    782.57x = 575,252.68
  5. Step 5: Solve for x
    x = 575,252.68/782.57
  6. Step 6: Final answer
    x = 735.08

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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.