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Finding the Fourth Proportional to 898.35, 1,346.04 and 823.71

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Solution

The fourth proportional to 898.35, 1,346.04 and 823.71 is: 1,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.35 : 1,346.04 = 823.71 : x
  2. Step 2: Convert to fraction form
    898.35/1,346.04 = 823.71/x
  3. Step 3: Cross multiply
    898.35x = 1,346.04 × 823.71
  4. Step 4: Simplify right side
    898.35x = 1,108,746.61
  5. Step 5: Solve for x
    x = 1,108,746.61/898.35
  6. Step 6: Final answer
    x = 1,234.20

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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.