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Finding the Fourth Proportional to 784.46, 1,178.52 and 753.48

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Solution

The fourth proportional to 784.46, 1,178.52 and 753.48 is: 1,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.46 : 1,178.52 = 753.48 : x
  2. Step 2: Convert to fraction form
    784.46/1,178.52 = 753.48/x
  3. Step 3: Cross multiply
    784.46x = 1,178.52 × 753.48
  4. Step 4: Simplify right side
    784.46x = 887,991.25
  5. Step 5: Solve for x
    x = 887,991.25/784.46
  6. Step 6: Final answer
    x = 1,131.98

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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.