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Finding the Fourth Proportional to 1,094.41, 1,641.26 and 477.93

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Solution

The fourth proportional to 1,094.41, 1,641.26 and 477.93 is: 716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.41 : 1,641.26 = 477.93 : x
  2. Step 2: Convert to fraction form
    1,094.41/1,641.26 = 477.93/x
  3. Step 3: Cross multiply
    1,094.41x = 1,641.26 × 477.93
  4. Step 4: Simplify right side
    1,094.41x = 784,407.39
  5. Step 5: Solve for x
    x = 784,407.39/1,094.41
  6. Step 6: Final answer
    x = 716.74

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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.