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Finding the Fourth Proportional to 783.11, 1,176.19 and 576.86

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Solution

The fourth proportional to 783.11, 1,176.19 and 576.86 is: 866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.11 : 1,176.19 = 576.86 : x
  2. Step 2: Convert to fraction form
    783.11/1,176.19 = 576.86/x
  3. Step 3: Cross multiply
    783.11x = 1,176.19 × 576.86
  4. Step 4: Simplify right side
    783.11x = 678,496.96
  5. Step 5: Solve for x
    x = 678,496.96/783.11
  6. Step 6: Final answer
    x = 866.41

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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.