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Finding the Fourth Proportional to 803.96, 1,197.29 and 776.62

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Solution

The fourth proportional to 803.96, 1,197.29 and 776.62 is: 1,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.96 : 1,197.29 = 776.62 : x
  2. Step 2: Convert to fraction form
    803.96/1,197.29 = 776.62/x
  3. Step 3: Cross multiply
    803.96x = 1,197.29 × 776.62
  4. Step 4: Simplify right side
    803.96x = 929,829.49
  5. Step 5: Solve for x
    x = 929,829.49/803.96
  6. Step 6: Final answer
    x = 1,156.57

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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.