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Finding the Fourth Proportional to 1,074.76, 1,613.50 and 894.36

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Solution

The fourth proportional to 1,074.76, 1,613.50 and 894.36 is: 1,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.76 : 1,613.50 = 894.36 : x
  2. Step 2: Convert to fraction form
    1,074.76/1,613.50 = 894.36/x
  3. Step 3: Cross multiply
    1,074.76x = 1,613.50 × 894.36
  4. Step 4: Simplify right side
    1,074.76x = 1,443,049.86
  5. Step 5: Solve for x
    x = 1,443,049.86/1,074.76
  6. Step 6: Final answer
    x = 1,342.67

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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.