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Finding the Fourth Proportional to 1,024.30, 1,535.91 and 446.50

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Solution

The fourth proportional to 1,024.30, 1,535.91 and 446.50 is: 669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.30 : 1,535.91 = 446.50 : x
  2. Step 2: Convert to fraction form
    1,024.30/1,535.91 = 446.50/x
  3. Step 3: Cross multiply
    1,024.30x = 1,535.91 × 446.50
  4. Step 4: Simplify right side
    1,024.30x = 685,783.82
  5. Step 5: Solve for x
    x = 685,783.82/1,024.30
  6. Step 6: Final answer
    x = 669.51

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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.