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Finding the Fourth Proportional to 826.40, 1,237.80 and 704.36

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Solution

The fourth proportional to 826.40, 1,237.80 and 704.36 is: 1,055.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.40 : 1,237.80 = 704.36 : x
  2. Step 2: Convert to fraction form
    826.40/1,237.80 = 704.36/x
  3. Step 3: Cross multiply
    826.40x = 1,237.80 × 704.36
  4. Step 4: Simplify right side
    826.40x = 871,856.81
  5. Step 5: Solve for x
    x = 871,856.81/826.40
  6. Step 6: Final answer
    x = 1,055.01

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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.