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Finding the Fourth Proportional to 898.08, 1,346.88 and 411.36

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Solution

The fourth proportional to 898.08, 1,346.88 and 411.36 is: 616.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.08 : 1,346.88 = 411.36 : x
  2. Step 2: Convert to fraction form
    898.08/1,346.88 = 411.36/x
  3. Step 3: Cross multiply
    898.08x = 1,346.88 × 411.36
  4. Step 4: Simplify right side
    898.08x = 554,052.56
  5. Step 5: Solve for x
    x = 554,052.56/898.08
  6. Step 6: Final answer
    x = 616.93

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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.