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Finding the Fourth Proportional to 767.04, 1,150.62 and 510

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Solution

The fourth proportional to 767.04, 1,150.62 and 510 is: 765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.04 : 1,150.62 = 510 : x
  2. Step 2: Convert to fraction form
    767.04/1,150.62 = 510/x
  3. Step 3: Cross multiply
    767.04x = 1,150.62 × 510
  4. Step 4: Simplify right side
    767.04x = 586,816.20
  5. Step 5: Solve for x
    x = 586,816.20/767.04
  6. Step 6: Final answer
    x = 765.04

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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.