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Finding the Fourth Proportional to 1,176.83, 1,764.57 and 354.86

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Solution

The fourth proportional to 1,176.83, 1,764.57 and 354.86 is: 532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.83 : 1,764.57 = 354.86 : x
  2. Step 2: Convert to fraction form
    1,176.83/1,764.57 = 354.86/x
  3. Step 3: Cross multiply
    1,176.83x = 1,764.57 × 354.86
  4. Step 4: Simplify right side
    1,176.83x = 626,175.31
  5. Step 5: Solve for x
    x = 626,175.31/1,176.83
  6. Step 6: Final answer
    x = 532.09

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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.