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Finding the Fourth Proportional to 1,067.50, 1,470.11 and 916.94

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Solution

The fourth proportional to 1,067.50, 1,470.11 and 916.94 is: 1,262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.50 : 1,470.11 = 916.94 : x
  2. Step 2: Convert to fraction form
    1,067.50/1,470.11 = 916.94/x
  3. Step 3: Cross multiply
    1,067.50x = 1,470.11 × 916.94
  4. Step 4: Simplify right side
    1,067.50x = 1,348,002.66
  5. Step 5: Solve for x
    x = 1,348,002.66/1,067.50
  6. Step 6: Final answer
    x = 1,262.77

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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.