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Finding the Fourth Proportional to 1,678.62, 2,517.94 and 508.62

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Solution

The fourth proportional to 1,678.62, 2,517.94 and 508.62 is: 762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.62 : 2,517.94 = 508.62 : x
  2. Step 2: Convert to fraction form
    1,678.62/2,517.94 = 508.62/x
  3. Step 3: Cross multiply
    1,678.62x = 2,517.94 × 508.62
  4. Step 4: Simplify right side
    1,678.62x = 1,280,674.64
  5. Step 5: Solve for x
    x = 1,280,674.64/1,678.62
  6. Step 6: Final answer
    x = 762.93

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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.