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Finding the Fourth Proportional to 785.15, 1,177.55 and 346.53

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Solution

The fourth proportional to 785.15, 1,177.55 and 346.53 is: 519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.15 : 1,177.55 = 346.53 : x
  2. Step 2: Convert to fraction form
    785.15/1,177.55 = 346.53/x
  3. Step 3: Cross multiply
    785.15x = 1,177.55 × 346.53
  4. Step 4: Simplify right side
    785.15x = 408,056.40
  5. Step 5: Solve for x
    x = 408,056.40/785.15
  6. Step 6: Final answer
    x = 519.72

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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.