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Finding the Fourth Proportional to 754.92, 1,041.75 and 474.75

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Solution

The fourth proportional to 754.92, 1,041.75 and 474.75 is: 655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.92 : 1,041.75 = 474.75 : x
  2. Step 2: Convert to fraction form
    754.92/1,041.75 = 474.75/x
  3. Step 3: Cross multiply
    754.92x = 1,041.75 × 474.75
  4. Step 4: Simplify right side
    754.92x = 494,570.81
  5. Step 5: Solve for x
    x = 494,570.81/754.92
  6. Step 6: Final answer
    x = 655.13

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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.