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Finding the Fourth Proportional to 785.10, 1,176.30 and 496.20

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Solution

The fourth proportional to 785.10, 1,176.30 and 496.20 is: 743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.10 : 1,176.30 = 496.20 : x
  2. Step 2: Convert to fraction form
    785.10/1,176.30 = 496.20/x
  3. Step 3: Cross multiply
    785.10x = 1,176.30 × 496.20
  4. Step 4: Simplify right side
    785.10x = 583,680.06
  5. Step 5: Solve for x
    x = 583,680.06/785.10
  6. Step 6: Final answer
    x = 743.45

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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.