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Finding the Fourth Proportional to 1,496.04, 2,064.57 and 832.95

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Solution

The fourth proportional to 1,496.04, 2,064.57 and 832.95 is: 1,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.04 : 2,064.57 = 832.95 : x
  2. Step 2: Convert to fraction form
    1,496.04/2,064.57 = 832.95/x
  3. Step 3: Cross multiply
    1,496.04x = 2,064.57 × 832.95
  4. Step 4: Simplify right side
    1,496.04x = 1,719,683.58
  5. Step 5: Solve for x
    x = 1,719,683.58/1,496.04
  6. Step 6: Final answer
    x = 1,149.49

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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.