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Finding the Fourth Proportional to 900.32, 1,242.41 and 546.55

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Solution

The fourth proportional to 900.32, 1,242.41 and 546.55 is: 754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.32 : 1,242.41 = 546.55 : x
  2. Step 2: Convert to fraction form
    900.32/1,242.41 = 546.55/x
  3. Step 3: Cross multiply
    900.32x = 1,242.41 × 546.55
  4. Step 4: Simplify right side
    900.32x = 679,033.35
  5. Step 5: Solve for x
    x = 679,033.35/900.32
  6. Step 6: Final answer
    x = 754.22

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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.