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Finding the Fourth Proportional to 1,087.70, 1,632 and 601.08

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Solution

The fourth proportional to 1,087.70, 1,632 and 601.08 is: 901.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.70 : 1,632 = 601.08 : x
  2. Step 2: Convert to fraction form
    1,087.70/1,632 = 601.08/x
  3. Step 3: Cross multiply
    1,087.70x = 1,632 × 601.08
  4. Step 4: Simplify right side
    1,087.70x = 980,962.56
  5. Step 5: Solve for x
    x = 980,962.56/1,087.70
  6. Step 6: Final answer
    x = 901.87

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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.