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Finding the Fourth Proportional to 768, 1,149.30 and 460.02

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Solution

The fourth proportional to 768, 1,149.30 and 460.02 is: 688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    768 : 1,149.30 = 460.02 : x
  2. Step 2: Convert to fraction form
    768/1,149.30 = 460.02/x
  3. Step 3: Cross multiply
    768x = 1,149.30 × 460.02
  4. Step 4: Simplify right side
    768x = 528,700.99
  5. Step 5: Solve for x
    x = 528,700.99/768
  6. Step 6: Final answer
    x = 688.41

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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.