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Finding the Fourth Proportional to 739.40, 1,020.57 and 424.83

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Solution

The fourth proportional to 739.40, 1,020.57 and 424.83 is: 586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.40 : 1,020.57 = 424.83 : x
  2. Step 2: Convert to fraction form
    739.40/1,020.57 = 424.83/x
  3. Step 3: Cross multiply
    739.40x = 1,020.57 × 424.83
  4. Step 4: Simplify right side
    739.40x = 433,568.75
  5. Step 5: Solve for x
    x = 433,568.75/739.40
  6. Step 6: Final answer
    x = 586.38

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Double scale
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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.