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Finding the Fourth Proportional to 784.22, 1,176.18 and 394.12

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Solution

The fourth proportional to 784.22, 1,176.18 and 394.12 is: 591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.22 : 1,176.18 = 394.12 : x
  2. Step 2: Convert to fraction form
    784.22/1,176.18 = 394.12/x
  3. Step 3: Cross multiply
    784.22x = 1,176.18 × 394.12
  4. Step 4: Simplify right side
    784.22x = 463,556.06
  5. Step 5: Solve for x
    x = 463,556.06/784.22
  6. Step 6: Final answer
    x = 591.10

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Double scale
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1.5x scale

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.