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Finding the Fourth Proportional to 1,063.68, 1,466.91 and 664.83

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Solution

The fourth proportional to 1,063.68, 1,466.91 and 664.83 is: 916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.68 : 1,466.91 = 664.83 : x
  2. Step 2: Convert to fraction form
    1,063.68/1,466.91 = 664.83/x
  3. Step 3: Cross multiply
    1,063.68x = 1,466.91 × 664.83
  4. Step 4: Simplify right side
    1,063.68x = 975,245.78
  5. Step 5: Solve for x
    x = 975,245.78/1,063.68
  6. Step 6: Final answer
    x = 916.86

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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.