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Finding the Fourth Proportional to 1,524.65, 2,285.13 and 657.14

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Solution

The fourth proportional to 1,524.65, 2,285.13 and 657.14 is: 984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.65 : 2,285.13 = 657.14 : x
  2. Step 2: Convert to fraction form
    1,524.65/2,285.13 = 657.14/x
  3. Step 3: Cross multiply
    1,524.65x = 2,285.13 × 657.14
  4. Step 4: Simplify right side
    1,524.65x = 1,501,650.33
  5. Step 5: Solve for x
    x = 1,501,650.33/1,524.65
  6. Step 6: Final answer
    x = 984.91

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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.