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Finding the Fourth Proportional to 950.79, 1,312.21 and 577.86

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Solution

The fourth proportional to 950.79, 1,312.21 and 577.86 is: 797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.79 : 1,312.21 = 577.86 : x
  2. Step 2: Convert to fraction form
    950.79/1,312.21 = 577.86/x
  3. Step 3: Cross multiply
    950.79x = 1,312.21 × 577.86
  4. Step 4: Simplify right side
    950.79x = 758,273.67
  5. Step 5: Solve for x
    x = 758,273.67/950.79
  6. Step 6: Final answer
    x = 797.52

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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.