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Finding the Fourth Proportional to 723.41, 1,082.40 and 429.84

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Solution

The fourth proportional to 723.41, 1,082.40 and 429.84 is: 643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.41 : 1,082.40 = 429.84 : x
  2. Step 2: Convert to fraction form
    723.41/1,082.40 = 429.84/x
  3. Step 3: Cross multiply
    723.41x = 1,082.40 × 429.84
  4. Step 4: Simplify right side
    723.41x = 465,258.82
  5. Step 5: Solve for x
    x = 465,258.82/723.41
  6. Step 6: Final answer
    x = 643.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.