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Finding the Fourth Proportional to 1,094.05, 1,641.34 and 314.07

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Solution

The fourth proportional to 1,094.05, 1,641.34 and 314.07 is: 471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.05 : 1,641.34 = 314.07 : x
  2. Step 2: Convert to fraction form
    1,094.05/1,641.34 = 314.07/x
  3. Step 3: Cross multiply
    1,094.05x = 1,641.34 × 314.07
  4. Step 4: Simplify right side
    1,094.05x = 515,495.65
  5. Step 5: Solve for x
    x = 515,495.65/1,094.05
  6. Step 6: Final answer
    x = 471.18

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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.