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Finding the Fourth Proportional to 1,521.56, 2,282.60 and 699.81

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Solution

The fourth proportional to 1,521.56, 2,282.60 and 699.81 is: 1,049.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.56 : 2,282.60 = 699.81 : x
  2. Step 2: Convert to fraction form
    1,521.56/2,282.60 = 699.81/x
  3. Step 3: Cross multiply
    1,521.56x = 2,282.60 × 699.81
  4. Step 4: Simplify right side
    1,521.56x = 1,597,386.86
  5. Step 5: Solve for x
    x = 1,597,386.86/1,521.56
  6. Step 6: Final answer
    x = 1,049.84

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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.