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Finding the Fourth Proportional to 1,149.92, 1,586.84 and 652.56

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Solution

The fourth proportional to 1,149.92, 1,586.84 and 652.56 is: 900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.92 : 1,586.84 = 652.56 : x
  2. Step 2: Convert to fraction form
    1,149.92/1,586.84 = 652.56/x
  3. Step 3: Cross multiply
    1,149.92x = 1,586.84 × 652.56
  4. Step 4: Simplify right side
    1,149.92x = 1,035,508.31
  5. Step 5: Solve for x
    x = 1,035,508.31/1,149.92
  6. Step 6: Final answer
    x = 900.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.