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Finding the Fourth Proportional to 837.19, 1,154.02 and 712.81

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Solution

The fourth proportional to 837.19, 1,154.02 and 712.81 is: 982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.19 : 1,154.02 = 712.81 : x
  2. Step 2: Convert to fraction form
    837.19/1,154.02 = 712.81/x
  3. Step 3: Cross multiply
    837.19x = 1,154.02 × 712.81
  4. Step 4: Simplify right side
    837.19x = 822,597.00
  5. Step 5: Solve for x
    x = 822,597.00/837.19
  6. Step 6: Final answer
    x = 982.57

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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.