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Finding the Fourth Proportional to 739.12, 1,019.99 and 407.54

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Solution

The fourth proportional to 739.12, 1,019.99 and 407.54 is: 562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.12 : 1,019.99 = 407.54 : x
  2. Step 2: Convert to fraction form
    739.12/1,019.99 = 407.54/x
  3. Step 3: Cross multiply
    739.12x = 1,019.99 × 407.54
  4. Step 4: Simplify right side
    739.12x = 415,682.26
  5. Step 5: Solve for x
    x = 415,682.26/739.12
  6. Step 6: Final answer
    x = 562.40

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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.