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Finding the Fourth Proportional to 899.08, 1,347.74 and 826.18

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Solution

The fourth proportional to 899.08, 1,347.74 and 826.18 is: 1,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.08 : 1,347.74 = 826.18 : x
  2. Step 2: Convert to fraction form
    899.08/1,347.74 = 826.18/x
  3. Step 3: Cross multiply
    899.08x = 1,347.74 × 826.18
  4. Step 4: Simplify right side
    899.08x = 1,113,475.83
  5. Step 5: Solve for x
    x = 1,113,475.83/899.08
  6. Step 6: Final answer
    x = 1,238.46

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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.