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Finding the Fourth Proportional to 1,023.01, 1,534.72 and 398.27

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Solution

The fourth proportional to 1,023.01, 1,534.72 and 398.27 is: 597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.01 : 1,534.72 = 398.27 : x
  2. Step 2: Convert to fraction form
    1,023.01/1,534.72 = 398.27/x
  3. Step 3: Cross multiply
    1,023.01x = 1,534.72 × 398.27
  4. Step 4: Simplify right side
    1,023.01x = 611,235.78
  5. Step 5: Solve for x
    x = 611,235.78/1,023.01
  6. Step 6: Final answer
    x = 597.49

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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.