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Finding the Fourth Proportional to 1,023.43, 1,534.74 and 438.06

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Solution

The fourth proportional to 1,023.43, 1,534.74 and 438.06 is: 656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.43 : 1,534.74 = 438.06 : x
  2. Step 2: Convert to fraction form
    1,023.43/1,534.74 = 438.06/x
  3. Step 3: Cross multiply
    1,023.43x = 1,534.74 × 438.06
  4. Step 4: Simplify right side
    1,023.43x = 672,308.20
  5. Step 5: Solve for x
    x = 672,308.20/1,023.43
  6. Step 6: Final answer
    x = 656.92

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