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Finding the Fourth Proportional to 897.91, 1,346.82 and 410.95

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Solution

The fourth proportional to 897.91, 1,346.82 and 410.95 is: 616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.91 : 1,346.82 = 410.95 : x
  2. Step 2: Convert to fraction form
    897.91/1,346.82 = 410.95/x
  3. Step 3: Cross multiply
    897.91x = 1,346.82 × 410.95
  4. Step 4: Simplify right side
    897.91x = 553,475.68
  5. Step 5: Solve for x
    x = 553,475.68/897.91
  6. Step 6: Final answer
    x = 616.40

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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.