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Finding the Fourth Proportional to 1,094.02, 1,641.34 and 477.78

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Solution

The fourth proportional to 1,094.02, 1,641.34 and 477.78 is: 716.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.02 : 1,641.34 = 477.78 : x
  2. Step 2: Convert to fraction form
    1,094.02/1,641.34 = 477.78/x
  3. Step 3: Cross multiply
    1,094.02x = 1,641.34 × 477.78
  4. Step 4: Simplify right side
    1,094.02x = 784,199.43
  5. Step 5: Solve for x
    x = 784,199.43/1,094.02
  6. Step 6: Final answer
    x = 716.81

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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.