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Finding the Fourth Proportional to 739.70, 1,020.63 and 429.20

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Solution

The fourth proportional to 739.70, 1,020.63 and 429.20 is: 592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.70 : 1,020.63 = 429.20 : x
  2. Step 2: Convert to fraction form
    739.70/1,020.63 = 429.20/x
  3. Step 3: Cross multiply
    739.70x = 1,020.63 × 429.20
  4. Step 4: Simplify right side
    739.70x = 438,054.40
  5. Step 5: Solve for x
    x = 438,054.40/739.70
  6. Step 6: Final answer
    x = 592.21

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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.