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Finding the Fourth Proportional to 786.68, 1,178.76 and 416.47

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Solution

The fourth proportional to 786.68, 1,178.76 and 416.47 is: 624.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.68 : 1,178.76 = 416.47 : x
  2. Step 2: Convert to fraction form
    786.68/1,178.76 = 416.47/x
  3. Step 3: Cross multiply
    786.68x = 1,178.76 × 416.47
  4. Step 4: Simplify right side
    786.68x = 490,918.18
  5. Step 5: Solve for x
    x = 490,918.18/786.68
  6. Step 6: Final answer
    x = 624.04

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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.