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Finding the Fourth Proportional to 1,496.64, 2,065.32 and 833.46

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Solution

The fourth proportional to 1,496.64, 2,065.32 and 833.46 is: 1,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.64 : 2,065.32 = 833.46 : x
  2. Step 2: Convert to fraction form
    1,496.64/2,065.32 = 833.46/x
  3. Step 3: Cross multiply
    1,496.64x = 2,065.32 × 833.46
  4. Step 4: Simplify right side
    1,496.64x = 1,721,365.48
  5. Step 5: Solve for x
    x = 1,721,365.48/1,496.64
  6. Step 6: Final answer
    x = 1,150.15

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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.