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Finding the Fourth Proportional to 753.86, 1,040.13 and 474.23

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Solution

The fourth proportional to 753.86, 1,040.13 and 474.23 is: 654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.86 : 1,040.13 = 474.23 : x
  2. Step 2: Convert to fraction form
    753.86/1,040.13 = 474.23/x
  3. Step 3: Cross multiply
    753.86x = 1,040.13 × 474.23
  4. Step 4: Simplify right side
    753.86x = 493,255.65
  5. Step 5: Solve for x
    x = 493,255.65/753.86
  6. Step 6: Final answer
    x = 654.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.