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Finding the Fourth Proportional to 739.30, 1,108.58 and 431.23

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Solution

The fourth proportional to 739.30, 1,108.58 and 431.23 is: 646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.30 : 1,108.58 = 431.23 : x
  2. Step 2: Convert to fraction form
    739.30/1,108.58 = 431.23/x
  3. Step 3: Cross multiply
    739.30x = 1,108.58 × 431.23
  4. Step 4: Simplify right side
    739.30x = 478,047.41
  5. Step 5: Solve for x
    x = 478,047.41/739.30
  6. Step 6: Final answer
    x = 646.63

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.