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Finding the Fourth Proportional to 1,161.41, 1,602.86 and 664.10

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Solution

The fourth proportional to 1,161.41, 1,602.86 and 664.10 is: 916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.41 : 1,602.86 = 664.10 : x
  2. Step 2: Convert to fraction form
    1,161.41/1,602.86 = 664.10/x
  3. Step 3: Cross multiply
    1,161.41x = 1,602.86 × 664.10
  4. Step 4: Simplify right side
    1,161.41x = 1,064,452.97
  5. Step 5: Solve for x
    x = 1,064,452.97/1,161.41
  6. Step 6: Final answer
    x = 916.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.