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Finding the Fourth Proportional to 1,098.66, 1,647.83 and 414.50

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Solution

The fourth proportional to 1,098.66, 1,647.83 and 414.50 is: 621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.66 : 1,647.83 = 414.50 : x
  2. Step 2: Convert to fraction form
    1,098.66/1,647.83 = 414.50/x
  3. Step 3: Cross multiply
    1,098.66x = 1,647.83 × 414.50
  4. Step 4: Simplify right side
    1,098.66x = 683,025.54
  5. Step 5: Solve for x
    x = 683,025.54/1,098.66
  6. Step 6: Final answer
    x = 621.69

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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.