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Finding the Fourth Proportional to 1,024.43, 1,534.56 and 536.45

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Solution

The fourth proportional to 1,024.43, 1,534.56 and 536.45 is: 803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.43 : 1,534.56 = 536.45 : x
  2. Step 2: Convert to fraction form
    1,024.43/1,534.56 = 536.45/x
  3. Step 3: Cross multiply
    1,024.43x = 1,534.56 × 536.45
  4. Step 4: Simplify right side
    1,024.43x = 823,207.04
  5. Step 5: Solve for x
    x = 823,207.04/1,024.43
  6. Step 6: Final answer
    x = 803.58

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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.