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Finding the Fourth Proportional to 1,032.96, 1,550.25 and 538.86

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Solution

The fourth proportional to 1,032.96, 1,550.25 and 538.86 is: 808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.96 : 1,550.25 = 538.86 : x
  2. Step 2: Convert to fraction form
    1,032.96/1,550.25 = 538.86/x
  3. Step 3: Cross multiply
    1,032.96x = 1,550.25 × 538.86
  4. Step 4: Simplify right side
    1,032.96x = 835,367.72
  5. Step 5: Solve for x
    x = 835,367.72/1,032.96
  6. Step 6: Final answer
    x = 808.71

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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.