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Finding the Fourth Proportional to 1,464.71, 2,021.47 and 905.09

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Solution

The fourth proportional to 1,464.71, 2,021.47 and 905.09 is: 1,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.71 : 2,021.47 = 905.09 : x
  2. Step 2: Convert to fraction form
    1,464.71/2,021.47 = 905.09/x
  3. Step 3: Cross multiply
    1,464.71x = 2,021.47 × 905.09
  4. Step 4: Simplify right side
    1,464.71x = 1,829,599.91
  5. Step 5: Solve for x
    x = 1,829,599.91/1,464.71
  6. Step 6: Final answer
    x = 1,249.13

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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.