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Finding the Fourth Proportional to 1,176.86, 1,765.38 and 355.16

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Solution

The fourth proportional to 1,176.86, 1,765.38 and 355.16 is: 532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.86 : 1,765.38 = 355.16 : x
  2. Step 2: Convert to fraction form
    1,176.86/1,765.38 = 355.16/x
  3. Step 3: Cross multiply
    1,176.86x = 1,765.38 × 355.16
  4. Step 4: Simplify right side
    1,176.86x = 626,992.36
  5. Step 5: Solve for x
    x = 626,992.36/1,176.86
  6. Step 6: Final answer
    x = 532.77

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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.