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Finding the Fourth Proportional to 1,649.07, 2,473.74 and 553.14

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Solution

The fourth proportional to 1,649.07, 2,473.74 and 553.14 is: 829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.07 : 2,473.74 = 553.14 : x
  2. Step 2: Convert to fraction form
    1,649.07/2,473.74 = 553.14/x
  3. Step 3: Cross multiply
    1,649.07x = 2,473.74 × 553.14
  4. Step 4: Simplify right side
    1,649.07x = 1,368,324.54
  5. Step 5: Solve for x
    x = 1,368,324.54/1,649.07
  6. Step 6: Final answer
    x = 829.76

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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.