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Finding the Fourth Proportional to 1,466.57, 2,024.39 and 906.80

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Solution

The fourth proportional to 1,466.57, 2,024.39 and 906.80 is: 1,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.57 : 2,024.39 = 906.80 : x
  2. Step 2: Convert to fraction form
    1,466.57/2,024.39 = 906.80/x
  3. Step 3: Cross multiply
    1,466.57x = 2,024.39 × 906.80
  4. Step 4: Simplify right side
    1,466.57x = 1,835,709.00
  5. Step 5: Solve for x
    x = 1,835,709.00/1,466.57
  6. Step 6: Final answer
    x = 1,251.70

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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.