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Finding the Fourth Proportional to 897.66, 1,346.97 and 410.94

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Solution

The fourth proportional to 897.66, 1,346.97 and 410.94 is: 616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.66 : 1,346.97 = 410.94 : x
  2. Step 2: Convert to fraction form
    897.66/1,346.97 = 410.94/x
  3. Step 3: Cross multiply
    897.66x = 1,346.97 × 410.94
  4. Step 4: Simplify right side
    897.66x = 553,523.85
  5. Step 5: Solve for x
    x = 553,523.85/897.66
  6. Step 6: Final answer
    x = 616.63

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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.