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Finding the Fourth Proportional to 1,269.53, 1,752.41 and 822.01

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Solution

The fourth proportional to 1,269.53, 1,752.41 and 822.01 is: 1,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.53 : 1,752.41 = 822.01 : x
  2. Step 2: Convert to fraction form
    1,269.53/1,752.41 = 822.01/x
  3. Step 3: Cross multiply
    1,269.53x = 1,752.41 × 822.01
  4. Step 4: Simplify right side
    1,269.53x = 1,440,498.54
  5. Step 5: Solve for x
    x = 1,440,498.54/1,269.53
  6. Step 6: Final answer
    x = 1,134.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.