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Finding the Fourth Proportional to 1,194.57, 1,790.14 and 526.66

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Solution

The fourth proportional to 1,194.57, 1,790.14 and 526.66 is: 789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.57 : 1,790.14 = 526.66 : x
  2. Step 2: Convert to fraction form
    1,194.57/1,790.14 = 526.66/x
  3. Step 3: Cross multiply
    1,194.57x = 1,790.14 × 526.66
  4. Step 4: Simplify right side
    1,194.57x = 942,795.13
  5. Step 5: Solve for x
    x = 942,795.13/1,194.57
  6. Step 6: Final answer
    x = 789.23

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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.