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Finding the Fourth Proportional to 739.12, 1,019.92 and 407.52

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Solution

The fourth proportional to 739.12, 1,019.92 and 407.52 is: 562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.12 : 1,019.92 = 407.52 : x
  2. Step 2: Convert to fraction form
    739.12/1,019.92 = 407.52/x
  3. Step 3: Cross multiply
    739.12x = 1,019.92 × 407.52
  4. Step 4: Simplify right side
    739.12x = 415,637.80
  5. Step 5: Solve for x
    x = 415,637.80/739.12
  6. Step 6: Final answer
    x = 562.34

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1.5x scale

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.