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Finding the Fourth Proportional to 1,453.67, 2,006.02 and 824.11

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Solution

The fourth proportional to 1,453.67, 2,006.02 and 824.11 is: 1,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.67 : 2,006.02 = 824.11 : x
  2. Step 2: Convert to fraction form
    1,453.67/2,006.02 = 824.11/x
  3. Step 3: Cross multiply
    1,453.67x = 2,006.02 × 824.11
  4. Step 4: Simplify right side
    1,453.67x = 1,653,181.14
  5. Step 5: Solve for x
    x = 1,653,181.14/1,453.67
  6. Step 6: Final answer
    x = 1,137.25

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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.