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Finding the Fourth Proportional to 767.12, 1,149.47 and 437.45

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Solution

The fourth proportional to 767.12, 1,149.47 and 437.45 is: 655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.12 : 1,149.47 = 437.45 : x
  2. Step 2: Convert to fraction form
    767.12/1,149.47 = 437.45/x
  3. Step 3: Cross multiply
    767.12x = 1,149.47 × 437.45
  4. Step 4: Simplify right side
    767.12x = 502,834.59
  5. Step 5: Solve for x
    x = 502,834.59/767.12
  6. Step 6: Final answer
    x = 655.48

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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.