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Finding the Fourth Proportional to 1,094.72, 1,642.09 and 314.79

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Solution

The fourth proportional to 1,094.72, 1,642.09 and 314.79 is: 472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.72 : 1,642.09 = 314.79 : x
  2. Step 2: Convert to fraction form
    1,094.72/1,642.09 = 314.79/x
  3. Step 3: Cross multiply
    1,094.72x = 1,642.09 × 314.79
  4. Step 4: Simplify right side
    1,094.72x = 516,907.16
  5. Step 5: Solve for x
    x = 516,907.16/1,094.72
  6. Step 6: Final answer
    x = 472.18

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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.