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Finding the Fourth Proportional to 897.23, 1,348.91 and 829.56

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Solution

The fourth proportional to 897.23, 1,348.91 and 829.56 is: 1,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.23 : 1,348.91 = 829.56 : x
  2. Step 2: Convert to fraction form
    897.23/1,348.91 = 829.56/x
  3. Step 3: Cross multiply
    897.23x = 1,348.91 × 829.56
  4. Step 4: Simplify right side
    897.23x = 1,119,007.23
  5. Step 5: Solve for x
    x = 1,119,007.23/897.23
  6. Step 6: Final answer
    x = 1,247.19

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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.