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Finding the Fourth Proportional to 840.74, 1,161.72 and 813.69

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Solution

The fourth proportional to 840.74, 1,161.72 and 813.69 is: 1,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.74 : 1,161.72 = 813.69 : x
  2. Step 2: Convert to fraction form
    840.74/1,161.72 = 813.69/x
  3. Step 3: Cross multiply
    840.74x = 1,161.72 × 813.69
  4. Step 4: Simplify right side
    840.74x = 945,279.95
  5. Step 5: Solve for x
    x = 945,279.95/840.74
  6. Step 6: Final answer
    x = 1,124.35

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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.