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Finding the Fourth Proportional to 1,434.52, 1,979.34 and 910.36

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Solution

The fourth proportional to 1,434.52, 1,979.34 and 910.36 is: 1,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.52 : 1,979.34 = 910.36 : x
  2. Step 2: Convert to fraction form
    1,434.52/1,979.34 = 910.36/x
  3. Step 3: Cross multiply
    1,434.52x = 1,979.34 × 910.36
  4. Step 4: Simplify right side
    1,434.52x = 1,801,911.96
  5. Step 5: Solve for x
    x = 1,801,911.96/1,434.52
  6. Step 6: Final answer
    x = 1,256.11

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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.