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Finding the Fourth Proportional to 761.86, 1,050.73 and 538.54

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Solution

The fourth proportional to 761.86, 1,050.73 and 538.54 is: 742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.86 : 1,050.73 = 538.54 : x
  2. Step 2: Convert to fraction form
    761.86/1,050.73 = 538.54/x
  3. Step 3: Cross multiply
    761.86x = 1,050.73 × 538.54
  4. Step 4: Simplify right side
    761.86x = 565,865.12
  5. Step 5: Solve for x
    x = 565,865.12/761.86
  6. Step 6: Final answer
    x = 742.75

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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.