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Finding the Fourth Proportional to 803.24, 1,196.97 and 777.16

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Solution

The fourth proportional to 803.24, 1,196.97 and 777.16 is: 1,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.24 : 1,196.97 = 777.16 : x
  2. Step 2: Convert to fraction form
    803.24/1,196.97 = 777.16/x
  3. Step 3: Cross multiply
    803.24x = 1,196.97 × 777.16
  4. Step 4: Simplify right side
    803.24x = 930,237.21
  5. Step 5: Solve for x
    x = 930,237.21/803.24
  6. Step 6: Final answer
    x = 1,158.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.