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Finding the Fourth Proportional to 739.02, 1,019.84 and 424.29

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Solution

The fourth proportional to 739.02, 1,019.84 and 424.29 is: 585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.02 : 1,019.84 = 424.29 : x
  2. Step 2: Convert to fraction form
    739.02/1,019.84 = 424.29/x
  3. Step 3: Cross multiply
    739.02x = 1,019.84 × 424.29
  4. Step 4: Simplify right side
    739.02x = 432,706.27
  5. Step 5: Solve for x
    x = 432,706.27/739.02
  6. Step 6: Final answer
    x = 585.51

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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.