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Finding the Fourth Proportional to 1,414.94, 1,952.66 and 848.07

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Solution

The fourth proportional to 1,414.94, 1,952.66 and 848.07 is: 1,170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.94 : 1,952.66 = 848.07 : x
  2. Step 2: Convert to fraction form
    1,414.94/1,952.66 = 848.07/x
  3. Step 3: Cross multiply
    1,414.94x = 1,952.66 × 848.07
  4. Step 4: Simplify right side
    1,414.94x = 1,655,989.72
  5. Step 5: Solve for x
    x = 1,655,989.72/1,414.94
  6. Step 6: Final answer
    x = 1,170.36

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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.