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Finding the Fourth Proportional to 1,246.55, 1,867.44 and 697.07

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Solution

The fourth proportional to 1,246.55, 1,867.44 and 697.07 is: 1,044.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.55 : 1,867.44 = 697.07 : x
  2. Step 2: Convert to fraction form
    1,246.55/1,867.44 = 697.07/x
  3. Step 3: Cross multiply
    1,246.55x = 1,867.44 × 697.07
  4. Step 4: Simplify right side
    1,246.55x = 1,301,732.92
  5. Step 5: Solve for x
    x = 1,301,732.92/1,246.55
  6. Step 6: Final answer
    x = 1,044.27

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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.