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Finding the Fourth Proportional to 1,201.71, 1,657.91 and 704.16

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Solution

The fourth proportional to 1,201.71, 1,657.91 and 704.16 is: 971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.71 : 1,657.91 = 704.16 : x
  2. Step 2: Convert to fraction form
    1,201.71/1,657.91 = 704.16/x
  3. Step 3: Cross multiply
    1,201.71x = 1,657.91 × 704.16
  4. Step 4: Simplify right side
    1,201.71x = 1,167,442.17
  5. Step 5: Solve for x
    x = 1,167,442.17/1,201.71
  6. Step 6: Final answer
    x = 971.49

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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.