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Finding the Fourth Proportional to 966.08, 1,331.93 and 788.86

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Solution

The fourth proportional to 966.08, 1,331.93 and 788.86 is: 1,087.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.08 : 1,331.93 = 788.86 : x
  2. Step 2: Convert to fraction form
    966.08/1,331.93 = 788.86/x
  3. Step 3: Cross multiply
    966.08x = 1,331.93 × 788.86
  4. Step 4: Simplify right side
    966.08x = 1,050,698.01
  5. Step 5: Solve for x
    x = 1,050,698.01/966.08
  6. Step 6: Final answer
    x = 1,087.59

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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.