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Finding the Fourth Proportional to 1,663.25, 2,494.26 and 552.47

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Solution

The fourth proportional to 1,663.25, 2,494.26 and 552.47 is: 828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.25 : 2,494.26 = 552.47 : x
  2. Step 2: Convert to fraction form
    1,663.25/2,494.26 = 552.47/x
  3. Step 3: Cross multiply
    1,663.25x = 2,494.26 × 552.47
  4. Step 4: Simplify right side
    1,663.25x = 1,378,005.38
  5. Step 5: Solve for x
    x = 1,378,005.38/1,663.25
  6. Step 6: Final answer
    x = 828.50

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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.