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Finding the Fourth Proportional to 1,423.37, 1,963.51 and 833.83

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Solution

The fourth proportional to 1,423.37, 1,963.51 and 833.83 is: 1,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.37 : 1,963.51 = 833.83 : x
  2. Step 2: Convert to fraction form
    1,423.37/1,963.51 = 833.83/x
  3. Step 3: Cross multiply
    1,423.37x = 1,963.51 × 833.83
  4. Step 4: Simplify right side
    1,423.37x = 1,637,226.55
  5. Step 5: Solve for x
    x = 1,637,226.55/1,423.37
  6. Step 6: Final answer
    x = 1,150.24

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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.