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Finding the Fourth Proportional to 1,119.06, 1,678.55 and 378.72

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Solution

The fourth proportional to 1,119.06, 1,678.55 and 378.72 is: 568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.06 : 1,678.55 = 378.72 : x
  2. Step 2: Convert to fraction form
    1,119.06/1,678.55 = 378.72/x
  3. Step 3: Cross multiply
    1,119.06x = 1,678.55 × 378.72
  4. Step 4: Simplify right side
    1,119.06x = 635,700.46
  5. Step 5: Solve for x
    x = 635,700.46/1,119.06
  6. Step 6: Final answer
    x = 568.07

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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.