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Finding the Fourth Proportional to 897.78, 1,355.09 and 897.78

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Solution

The fourth proportional to 897.78, 1,355.09 and 897.78 is: 1,355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.78 : 1,355.09 = 897.78 : x
  2. Step 2: Convert to fraction form
    897.78/1,355.09 = 897.78/x
  3. Step 3: Cross multiply
    897.78x = 1,355.09 × 897.78
  4. Step 4: Simplify right side
    897.78x = 1,216,572.70
  5. Step 5: Solve for x
    x = 1,216,572.70/897.78
  6. Step 6: Final answer
    x = 1,355.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.