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Finding the Fourth Proportional to 754.64, 1,041.66 and 475.34

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Solution

The fourth proportional to 754.64, 1,041.66 and 475.34 is: 656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.64 : 1,041.66 = 475.34 : x
  2. Step 2: Convert to fraction form
    754.64/1,041.66 = 475.34/x
  3. Step 3: Cross multiply
    754.64x = 1,041.66 × 475.34
  4. Step 4: Simplify right side
    754.64x = 495,147.76
  5. Step 5: Solve for x
    x = 495,147.76/754.64
  6. Step 6: Final answer
    x = 656.14

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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.