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Finding the Fourth Proportional to 772.13, 1,157.95 and 648.76

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Solution

The fourth proportional to 772.13, 1,157.95 and 648.76 is: 972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.13 : 1,157.95 = 648.76 : x
  2. Step 2: Convert to fraction form
    772.13/1,157.95 = 648.76/x
  3. Step 3: Cross multiply
    772.13x = 1,157.95 × 648.76
  4. Step 4: Simplify right side
    772.13x = 751,228.08
  5. Step 5: Solve for x
    x = 751,228.08/772.13
  6. Step 6: Final answer
    x = 972.93

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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.