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Finding the Fourth Proportional to 1,094.13, 1,641.47 and 324.63

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Solution

The fourth proportional to 1,094.13, 1,641.47 and 324.63 is: 487.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.13 : 1,641.47 = 324.63 : x
  2. Step 2: Convert to fraction form
    1,094.13/1,641.47 = 324.63/x
  3. Step 3: Cross multiply
    1,094.13x = 1,641.47 × 324.63
  4. Step 4: Simplify right side
    1,094.13x = 532,870.41
  5. Step 5: Solve for x
    x = 532,870.41/1,094.13
  6. Step 6: Final answer
    x = 487.03

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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.