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Finding the Fourth Proportional to 1,000.30, 1,500.26 and 423.58

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Solution

The fourth proportional to 1,000.30, 1,500.26 and 423.58 is: 635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.30 : 1,500.26 = 423.58 : x
  2. Step 2: Convert to fraction form
    1,000.30/1,500.26 = 423.58/x
  3. Step 3: Cross multiply
    1,000.30x = 1,500.26 × 423.58
  4. Step 4: Simplify right side
    1,000.30x = 635,480.13
  5. Step 5: Solve for x
    x = 635,480.13/1,000.30
  6. Step 6: Final answer
    x = 635.29

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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.