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Finding the Fourth Proportional to 1,119.20, 1,678.86 and 339.17

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Solution

The fourth proportional to 1,119.20, 1,678.86 and 339.17 is: 508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.20 : 1,678.86 = 339.17 : x
  2. Step 2: Convert to fraction form
    1,119.20/1,678.86 = 339.17/x
  3. Step 3: Cross multiply
    1,119.20x = 1,678.86 × 339.17
  4. Step 4: Simplify right side
    1,119.20x = 569,410.55
  5. Step 5: Solve for x
    x = 569,410.55/1,119.20
  6. Step 6: Final answer
    x = 508.77

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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.