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Finding the Fourth Proportional to 826.05, 1,237.35 and 697.35

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Solution

The fourth proportional to 826.05, 1,237.35 and 697.35 is: 1,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.05 : 1,237.35 = 697.35 : x
  2. Step 2: Convert to fraction form
    826.05/1,237.35 = 697.35/x
  3. Step 3: Cross multiply
    826.05x = 1,237.35 × 697.35
  4. Step 4: Simplify right side
    826.05x = 862,866.02
  5. Step 5: Solve for x
    x = 862,866.02/826.05
  6. Step 6: Final answer
    x = 1,044.57

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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.