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Finding the Fourth Proportional to 838.85, 1,154.09 and 738.81

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Solution

The fourth proportional to 838.85, 1,154.09 and 738.81 is: 1,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.85 : 1,154.09 = 738.81 : x
  2. Step 2: Convert to fraction form
    838.85/1,154.09 = 738.81/x
  3. Step 3: Cross multiply
    838.85x = 1,154.09 × 738.81
  4. Step 4: Simplify right side
    838.85x = 852,649.54
  5. Step 5: Solve for x
    x = 852,649.54/838.85
  6. Step 6: Final answer
    x = 1,016.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.