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Finding the Fourth Proportional to 784.60, 1,176.89 and 437.76

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Solution

The fourth proportional to 784.60, 1,176.89 and 437.76 is: 656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.60 : 1,176.89 = 437.76 : x
  2. Step 2: Convert to fraction form
    784.60/1,176.89 = 437.76/x
  3. Step 3: Cross multiply
    784.60x = 1,176.89 × 437.76
  4. Step 4: Simplify right side
    784.60x = 515,193.18
  5. Step 5: Solve for x
    x = 515,193.18/784.60
  6. Step 6: Final answer
    x = 656.63

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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.