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Finding the Fourth Proportional to 1,006.66, 1,388.02 and 944.39

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Solution

The fourth proportional to 1,006.66, 1,388.02 and 944.39 is: 1,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.66 : 1,388.02 = 944.39 : x
  2. Step 2: Convert to fraction form
    1,006.66/1,388.02 = 944.39/x
  3. Step 3: Cross multiply
    1,006.66x = 1,388.02 × 944.39
  4. Step 4: Simplify right side
    1,006.66x = 1,310,824.02
  5. Step 5: Solve for x
    x = 1,310,824.02/1,006.66
  6. Step 6: Final answer
    x = 1,302.15

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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.