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Finding the Fourth Proportional to 784.93, 1,083.12 and 490.09

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Solution

The fourth proportional to 784.93, 1,083.12 and 490.09 is: 676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.93 : 1,083.12 = 490.09 : x
  2. Step 2: Convert to fraction form
    784.93/1,083.12 = 490.09/x
  3. Step 3: Cross multiply
    784.93x = 1,083.12 × 490.09
  4. Step 4: Simplify right side
    784.93x = 530,826.28
  5. Step 5: Solve for x
    x = 530,826.28/784.93
  6. Step 6: Final answer
    x = 676.27

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Double scale
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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.