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Finding the Fourth Proportional to 1,523.56, 2,285.02 and 657.68

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Solution

The fourth proportional to 1,523.56, 2,285.02 and 657.68 is: 986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.56 : 2,285.02 = 657.68 : x
  2. Step 2: Convert to fraction form
    1,523.56/2,285.02 = 657.68/x
  3. Step 3: Cross multiply
    1,523.56x = 2,285.02 × 657.68
  4. Step 4: Simplify right side
    1,523.56x = 1,502,811.95
  5. Step 5: Solve for x
    x = 1,502,811.95/1,523.56
  6. Step 6: Final answer
    x = 986.38

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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.