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Finding the Fourth Proportional to 898.24, 1,346.88 and 410.86

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Solution

The fourth proportional to 898.24, 1,346.88 and 410.86 is: 616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.24 : 1,346.88 = 410.86 : x
  2. Step 2: Convert to fraction form
    898.24/1,346.88 = 410.86/x
  3. Step 3: Cross multiply
    898.24x = 1,346.88 × 410.86
  4. Step 4: Simplify right side
    898.24x = 553,379.12
  5. Step 5: Solve for x
    x = 553,379.12/898.24
  6. Step 6: Final answer
    x = 616.07

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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.