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Finding the Fourth Proportional to 903.26, 1,353.06 and 697.11

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Solution

The fourth proportional to 903.26, 1,353.06 and 697.11 is: 1,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.26 : 1,353.06 = 697.11 : x
  2. Step 2: Convert to fraction form
    903.26/1,353.06 = 697.11/x
  3. Step 3: Cross multiply
    903.26x = 1,353.06 × 697.11
  4. Step 4: Simplify right side
    903.26x = 943,231.66
  5. Step 5: Solve for x
    x = 943,231.66/903.26
  6. Step 6: Final answer
    x = 1,044.26

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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.