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Finding the Fourth Proportional to 900.52, 1,239.71 and 775.51

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Solution

The fourth proportional to 900.52, 1,239.71 and 775.51 is: 1,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.52 : 1,239.71 = 775.51 : x
  2. Step 2: Convert to fraction form
    900.52/1,239.71 = 775.51/x
  3. Step 3: Cross multiply
    900.52x = 1,239.71 × 775.51
  4. Step 4: Simplify right side
    900.52x = 961,400.53
  5. Step 5: Solve for x
    x = 961,400.53/900.52
  6. Step 6: Final answer
    x = 1,067.61

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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.