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Finding the Fourth Proportional to 1,015.52, 1,523.82 and 975.56

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Solution

The fourth proportional to 1,015.52, 1,523.82 and 975.56 is: 1,463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.52 : 1,523.82 = 975.56 : x
  2. Step 2: Convert to fraction form
    1,015.52/1,523.82 = 975.56/x
  3. Step 3: Cross multiply
    1,015.52x = 1,523.82 × 975.56
  4. Step 4: Simplify right side
    1,015.52x = 1,486,577.84
  5. Step 5: Solve for x
    x = 1,486,577.84/1,015.52
  6. Step 6: Final answer
    x = 1,463.86

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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.