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Finding the Fourth Proportional to 739.08, 1,019.97 and 407.52

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Solution

The fourth proportional to 739.08, 1,019.97 and 407.52 is: 562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.08 : 1,019.97 = 407.52 : x
  2. Step 2: Convert to fraction form
    739.08/1,019.97 = 407.52/x
  3. Step 3: Cross multiply
    739.08x = 1,019.97 × 407.52
  4. Step 4: Simplify right side
    739.08x = 415,658.17
  5. Step 5: Solve for x
    x = 415,658.17/739.08
  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.