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Finding the Fourth Proportional to 910.05, 1,362.12 and 498.15

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Solution

The fourth proportional to 910.05, 1,362.12 and 498.15 is: 745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.05 : 1,362.12 = 498.15 : x
  2. Step 2: Convert to fraction form
    910.05/1,362.12 = 498.15/x
  3. Step 3: Cross multiply
    910.05x = 1,362.12 × 498.15
  4. Step 4: Simplify right side
    910.05x = 678,540.08
  5. Step 5: Solve for x
    x = 678,540.08/910.05
  6. Step 6: Final answer
    x = 745.61

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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.