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Finding the Fourth Proportional to 786.48, 1,177.80 and 493.24

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Solution

The fourth proportional to 786.48, 1,177.80 and 493.24 is: 738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.48 : 1,177.80 = 493.24 : x
  2. Step 2: Convert to fraction form
    786.48/1,177.80 = 493.24/x
  3. Step 3: Cross multiply
    786.48x = 1,177.80 × 493.24
  4. Step 4: Simplify right side
    786.48x = 580,938.07
  5. Step 5: Solve for x
    x = 580,938.07/786.48
  6. Step 6: Final answer
    x = 738.66

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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.