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Finding the Fourth Proportional to 1,649.22, 2,473.96 and 553.62

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Solution

The fourth proportional to 1,649.22, 2,473.96 and 553.62 is: 830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.22 : 2,473.96 = 553.62 : x
  2. Step 2: Convert to fraction form
    1,649.22/2,473.96 = 553.62/x
  3. Step 3: Cross multiply
    1,649.22x = 2,473.96 × 553.62
  4. Step 4: Simplify right side
    1,649.22x = 1,369,633.74
  5. Step 5: Solve for x
    x = 1,369,633.74/1,649.22
  6. Step 6: Final answer
    x = 830.47

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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.