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Finding the Fourth Proportional to 1,176.98, 1,765.74 and 355.23

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Solution

The fourth proportional to 1,176.98, 1,765.74 and 355.23 is: 532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.98 : 1,765.74 = 355.23 : x
  2. Step 2: Convert to fraction form
    1,176.98/1,765.74 = 355.23/x
  3. Step 3: Cross multiply
    1,176.98x = 1,765.74 × 355.23
  4. Step 4: Simplify right side
    1,176.98x = 627,243.82
  5. Step 5: Solve for x
    x = 627,243.82/1,176.98
  6. Step 6: Final answer
    x = 532.93

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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.