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Finding the Fourth Proportional to 1,072.52, 1,617.95 and 1,070.36

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Solution

The fourth proportional to 1,072.52, 1,617.95 and 1,070.36 is: 1,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.52 : 1,617.95 = 1,070.36 : x
  2. Step 2: Convert to fraction form
    1,072.52/1,617.95 = 1,070.36/x
  3. Step 3: Cross multiply
    1,072.52x = 1,617.95 × 1,070.36
  4. Step 4: Simplify right side
    1,072.52x = 1,731,788.96
  5. Step 5: Solve for x
    x = 1,731,788.96/1,072.52
  6. Step 6: Final answer
    x = 1,614.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.