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Finding the Fourth Proportional to 1,524.76, 2,287 and 601.06

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Solution

The fourth proportional to 1,524.76, 2,287 and 601.06 is: 901.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.76 : 2,287 = 601.06 : x
  2. Step 2: Convert to fraction form
    1,524.76/2,287 = 601.06/x
  3. Step 3: Cross multiply
    1,524.76x = 2,287 × 601.06
  4. Step 4: Simplify right side
    1,524.76x = 1,374,624.22
  5. Step 5: Solve for x
    x = 1,374,624.22/1,524.76
  6. Step 6: Final answer
    x = 901.53

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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.