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Finding the Fourth Proportional to 786.02, 1,176.69 and 512.24

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Solution

The fourth proportional to 786.02, 1,176.69 and 512.24 is: 766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.02 : 1,176.69 = 512.24 : x
  2. Step 2: Convert to fraction form
    786.02/1,176.69 = 512.24/x
  3. Step 3: Cross multiply
    786.02x = 1,176.69 × 512.24
  4. Step 4: Simplify right side
    786.02x = 602,747.69
  5. Step 5: Solve for x
    x = 602,747.69/786.02
  6. Step 6: Final answer
    x = 766.84

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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.