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Finding the Fourth Proportional to 783.47, 1,174.50 and 475.47

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Solution

The fourth proportional to 783.47, 1,174.50 and 475.47 is: 712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.47 : 1,174.50 = 475.47 : x
  2. Step 2: Convert to fraction form
    783.47/1,174.50 = 475.47/x
  3. Step 3: Cross multiply
    783.47x = 1,174.50 × 475.47
  4. Step 4: Simplify right side
    783.47x = 558,439.52
  5. Step 5: Solve for x
    x = 558,439.52/783.47
  6. Step 6: Final answer
    x = 712.77

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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.