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Finding the Fourth Proportional to 897.81, 1,346.98 and 411.27

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Solution

The fourth proportional to 897.81, 1,346.98 and 411.27 is: 617.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.81 : 1,346.98 = 411.27 : x
  2. Step 2: Convert to fraction form
    897.81/1,346.98 = 411.27/x
  3. Step 3: Cross multiply
    897.81x = 1,346.98 × 411.27
  4. Step 4: Simplify right side
    897.81x = 553,972.46
  5. Step 5: Solve for x
    x = 553,972.46/897.81
  6. Step 6: Final answer
    x = 617.03

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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.