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Finding the Fourth Proportional to 1,024.12, 1,536.54 and 446.92

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Solution

The fourth proportional to 1,024.12, 1,536.54 and 446.92 is: 670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.12 : 1,536.54 = 446.92 : x
  2. Step 2: Convert to fraction form
    1,024.12/1,536.54 = 446.92/x
  3. Step 3: Cross multiply
    1,024.12x = 1,536.54 × 446.92
  4. Step 4: Simplify right side
    1,024.12x = 686,710.46
  5. Step 5: Solve for x
    x = 686,710.46/1,024.12
  6. Step 6: Final answer
    x = 670.54

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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.