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Finding the Fourth Proportional to 883.74, 1,219.51 and 490.74

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Solution

The fourth proportional to 883.74, 1,219.51 and 490.74 is: 677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.74 : 1,219.51 = 490.74 : x
  2. Step 2: Convert to fraction form
    883.74/1,219.51 = 490.74/x
  3. Step 3: Cross multiply
    883.74x = 1,219.51 × 490.74
  4. Step 4: Simplify right side
    883.74x = 598,462.34
  5. Step 5: Solve for x
    x = 598,462.34/883.74
  6. Step 6: Final answer
    x = 677.19

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Half scale
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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.