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Finding the Fourth Proportional to 1,175.89, 1,764.24 and 526.87

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Solution

The fourth proportional to 1,175.89, 1,764.24 and 526.87 is: 790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.89 : 1,764.24 = 526.87 : x
  2. Step 2: Convert to fraction form
    1,175.89/1,764.24 = 526.87/x
  3. Step 3: Cross multiply
    1,175.89x = 1,764.24 × 526.87
  4. Step 4: Simplify right side
    1,175.89x = 929,525.13
  5. Step 5: Solve for x
    x = 929,525.13/1,175.89
  6. Step 6: Final answer
    x = 790.49

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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.