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Finding the Fourth Proportional to 913.59, 1,372.20 and 784.65

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Solution

The fourth proportional to 913.59, 1,372.20 and 784.65 is: 1,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.59 : 1,372.20 = 784.65 : x
  2. Step 2: Convert to fraction form
    913.59/1,372.20 = 784.65/x
  3. Step 3: Cross multiply
    913.59x = 1,372.20 × 784.65
  4. Step 4: Simplify right side
    913.59x = 1,076,696.73
  5. Step 5: Solve for x
    x = 1,076,696.73/913.59
  6. Step 6: Final answer
    x = 1,178.53

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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.