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Finding the Fourth Proportional to 1,504.07, 2,076.44 and 906.67

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Solution

The fourth proportional to 1,504.07, 2,076.44 and 906.67 is: 1,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.07 : 2,076.44 = 906.67 : x
  2. Step 2: Convert to fraction form
    1,504.07/2,076.44 = 906.67/x
  3. Step 3: Cross multiply
    1,504.07x = 2,076.44 × 906.67
  4. Step 4: Simplify right side
    1,504.07x = 1,882,641.36
  5. Step 5: Solve for x
    x = 1,882,641.36/1,504.07
  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.