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Finding the Fourth Proportional to 1,496.95, 2,064.76 and 906.73

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Solution

The fourth proportional to 1,496.95, 2,064.76 and 906.73 is: 1,250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.95 : 2,064.76 = 906.73 : x
  2. Step 2: Convert to fraction form
    1,496.95/2,064.76 = 906.73/x
  3. Step 3: Cross multiply
    1,496.95x = 2,064.76 × 906.73
  4. Step 4: Simplify right side
    1,496.95x = 1,872,179.83
  5. Step 5: Solve for x
    x = 1,872,179.83/1,496.95
  6. Step 6: Final answer
    x = 1,250.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.