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Finding the Fourth Proportional to 1,524.74, 2,285.24 and 701.87

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Solution

The fourth proportional to 1,524.74, 2,285.24 and 701.87 is: 1,051.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.74 : 2,285.24 = 701.87 : x
  2. Step 2: Convert to fraction form
    1,524.74/2,285.24 = 701.87/x
  3. Step 3: Cross multiply
    1,524.74x = 2,285.24 × 701.87
  4. Step 4: Simplify right side
    1,524.74x = 1,603,937.89
  5. Step 5: Solve for x
    x = 1,603,937.89/1,524.74
  6. Step 6: Final answer
    x = 1,051.94

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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.