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Finding the Fourth Proportional to 1,423.04, 1,963.78 and 833.68

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Solution

The fourth proportional to 1,423.04, 1,963.78 and 833.68 is: 1,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.04 : 1,963.78 = 833.68 : x
  2. Step 2: Convert to fraction form
    1,423.04/1,963.78 = 833.68/x
  3. Step 3: Cross multiply
    1,423.04x = 1,963.78 × 833.68
  4. Step 4: Simplify right side
    1,423.04x = 1,637,164.11
  5. Step 5: Solve for x
    x = 1,637,164.11/1,423.04
  6. Step 6: Final answer
    x = 1,150.47

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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.