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Finding the Fourth Proportional to 884.71, 1,220.95 and 491.74

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Solution

The fourth proportional to 884.71, 1,220.95 and 491.74 is: 678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.71 : 1,220.95 = 491.74 : x
  2. Step 2: Convert to fraction form
    884.71/1,220.95 = 491.74/x
  3. Step 3: Cross multiply
    884.71x = 1,220.95 × 491.74
  4. Step 4: Simplify right side
    884.71x = 600,387.52
  5. Step 5: Solve for x
    x = 600,387.52/884.71
  6. Step 6: Final answer
    x = 678.63

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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.