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Finding the Fourth Proportional to 710.93, 1,067.18 and 525.27

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Solution

The fourth proportional to 710.93, 1,067.18 and 525.27 is: 788.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.93 : 1,067.18 = 525.27 : x
  2. Step 2: Convert to fraction form
    710.93/1,067.18 = 525.27/x
  3. Step 3: Cross multiply
    710.93x = 1,067.18 × 525.27
  4. Step 4: Simplify right side
    710.93x = 560,555.01
  5. Step 5: Solve for x
    x = 560,555.01/710.93
  6. Step 6: Final answer
    x = 788.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.