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Finding the Fourth Proportional to 1,175.61, 1,764.33 and 526.80

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Solution

The fourth proportional to 1,175.61, 1,764.33 and 526.80 is: 790.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.61 : 1,764.33 = 526.80 : x
  2. Step 2: Convert to fraction form
    1,175.61/1,764.33 = 526.80/x
  3. Step 3: Cross multiply
    1,175.61x = 1,764.33 × 526.80
  4. Step 4: Simplify right side
    1,175.61x = 929,456.65
  5. Step 5: Solve for x
    x = 929,456.65/1,175.61
  6. Step 6: Final answer
    x = 790.61

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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.