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Finding the Fourth Proportional to 784.68, 1,083.54 and 490.47

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Solution

The fourth proportional to 784.68, 1,083.54 and 490.47 is: 677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.68 : 1,083.54 = 490.47 : x
  2. Step 2: Convert to fraction form
    784.68/1,083.54 = 490.47/x
  3. Step 3: Cross multiply
    784.68x = 1,083.54 × 490.47
  4. Step 4: Simplify right side
    784.68x = 531,443.86
  5. Step 5: Solve for x
    x = 531,443.86/784.68
  6. Step 6: Final answer
    x = 677.27

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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.