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Finding the Fourth Proportional to 950.64, 1,312.20 and 577.86

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Solution

The fourth proportional to 950.64, 1,312.20 and 577.86 is: 797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.64 : 1,312.20 = 577.86 : x
  2. Step 2: Convert to fraction form
    950.64/1,312.20 = 577.86/x
  3. Step 3: Cross multiply
    950.64x = 1,312.20 × 577.86
  4. Step 4: Simplify right side
    950.64x = 758,267.89
  5. Step 5: Solve for x
    x = 758,267.89/950.64
  6. Step 6: Final answer
    x = 797.64

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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.