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Finding the Fourth Proportional to 785.47, 1,177.76 and 237.49

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Solution

The fourth proportional to 785.47, 1,177.76 and 237.49 is: 356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.47 : 1,177.76 = 237.49 : x
  2. Step 2: Convert to fraction form
    785.47/1,177.76 = 237.49/x
  3. Step 3: Cross multiply
    785.47x = 1,177.76 × 237.49
  4. Step 4: Simplify right side
    785.47x = 279,705.03
  5. Step 5: Solve for x
    x = 279,705.03/785.47
  6. Step 6: Final answer
    x = 356.10

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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.