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Finding the Fourth Proportional to 897.18, 1,340.00 and 824.46

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Solution

The fourth proportional to 897.18, 1,340.00 and 824.46 is: 1,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.18 : 1,340.00 = 824.46 : x
  2. Step 2: Convert to fraction form
    897.18/1,340.00 = 824.46/x
  3. Step 3: Cross multiply
    897.18x = 1,340.00 × 824.46
  4. Step 4: Simplify right side
    897.18x = 1,104,772.28
  5. Step 5: Solve for x
    x = 1,104,772.28/897.18
  6. Step 6: Final answer
    x = 1,231.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.