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Finding the Fourth Proportional to 1,067.70, 1,590.94 and 951.25

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Solution

The fourth proportional to 1,067.70, 1,590.94 and 951.25 is: 1,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.70 : 1,590.94 = 951.25 : x
  2. Step 2: Convert to fraction form
    1,067.70/1,590.94 = 951.25/x
  3. Step 3: Cross multiply
    1,067.70x = 1,590.94 × 951.25
  4. Step 4: Simplify right side
    1,067.70x = 1,513,378.11
  5. Step 5: Solve for x
    x = 1,513,378.11/1,067.70
  6. Step 6: Final answer
    x = 1,417.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.