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Finding the Fourth Proportional to 1,176.84, 1,765.26 and 397.71

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Solution

The fourth proportional to 1,176.84, 1,765.26 and 397.71 is: 596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.84 : 1,765.26 = 397.71 : x
  2. Step 2: Convert to fraction form
    1,176.84/1,765.26 = 397.71/x
  3. Step 3: Cross multiply
    1,176.84x = 1,765.26 × 397.71
  4. Step 4: Simplify right side
    1,176.84x = 702,061.55
  5. Step 5: Solve for x
    x = 702,061.55/1,176.84
  6. Step 6: Final answer
    x = 596.57

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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.