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Finding the Fourth Proportional to 754.02, 1,040.47 and 417.90

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Solution

The fourth proportional to 754.02, 1,040.47 and 417.90 is: 576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.02 : 1,040.47 = 417.90 : x
  2. Step 2: Convert to fraction form
    754.02/1,040.47 = 417.90/x
  3. Step 3: Cross multiply
    754.02x = 1,040.47 × 417.90
  4. Step 4: Simplify right side
    754.02x = 434,812.41
  5. Step 5: Solve for x
    x = 434,812.41/754.02
  6. Step 6: Final answer
    x = 576.66

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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.