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Finding the Fourth Proportional to 1,649.05, 2,473.72 and 553.43

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Solution

The fourth proportional to 1,649.05, 2,473.72 and 553.43 is: 830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.05 : 2,473.72 = 553.43 : x
  2. Step 2: Convert to fraction form
    1,649.05/2,473.72 = 553.43/x
  3. Step 3: Cross multiply
    1,649.05x = 2,473.72 × 553.43
  4. Step 4: Simplify right side
    1,649.05x = 1,369,035.66
  5. Step 5: Solve for x
    x = 1,369,035.66/1,649.05
  6. Step 6: Final answer
    x = 830.20

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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.