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Finding the Fourth Proportional to 1,678.70, 2,517.06 and 508.35

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Solution

The fourth proportional to 1,678.70, 2,517.06 and 508.35 is: 762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.70 : 2,517.06 = 508.35 : x
  2. Step 2: Convert to fraction form
    1,678.70/2,517.06 = 508.35/x
  3. Step 3: Cross multiply
    1,678.70x = 2,517.06 × 508.35
  4. Step 4: Simplify right side
    1,678.70x = 1,279,547.45
  5. Step 5: Solve for x
    x = 1,279,547.45/1,678.70
  6. Step 6: Final answer
    x = 762.23

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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.