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Finding the Fourth Proportional to 738.82, 1,019.56 and 407.23

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Solution

The fourth proportional to 738.82, 1,019.56 and 407.23 is: 561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.82 : 1,019.56 = 407.23 : x
  2. Step 2: Convert to fraction form
    738.82/1,019.56 = 407.23/x
  3. Step 3: Cross multiply
    738.82x = 1,019.56 × 407.23
  4. Step 4: Simplify right side
    738.82x = 415,195.42
  5. Step 5: Solve for x
    x = 415,195.42/738.82
  6. Step 6: Final answer
    x = 561.97

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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.