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Finding the Fourth Proportional to 1,176.76, 1,765.20 and 355.09

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Solution

The fourth proportional to 1,176.76, 1,765.20 and 355.09 is: 532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.76 : 1,765.20 = 355.09 : x
  2. Step 2: Convert to fraction form
    1,176.76/1,765.20 = 355.09/x
  3. Step 3: Cross multiply
    1,176.76x = 1,765.20 × 355.09
  4. Step 4: Simplify right side
    1,176.76x = 626,804.87
  5. Step 5: Solve for x
    x = 626,804.87/1,176.76
  6. Step 6: Final answer
    x = 532.65

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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.