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Finding the Fourth Proportional to 753.86, 1,040.32 and 417.79

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Solution

The fourth proportional to 753.86, 1,040.32 and 417.79 is: 576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.86 : 1,040.32 = 417.79 : x
  2. Step 2: Convert to fraction form
    753.86/1,040.32 = 417.79/x
  3. Step 3: Cross multiply
    753.86x = 1,040.32 × 417.79
  4. Step 4: Simplify right side
    753.86x = 434,635.29
  5. Step 5: Solve for x
    x = 434,635.29/753.86
  6. Step 6: Final answer
    x = 576.55

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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.