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Finding the Fourth Proportional to 1,423.48, 1,964.52 and 833.89

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Solution

The fourth proportional to 1,423.48, 1,964.52 and 833.89 is: 1,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.48 : 1,964.52 = 833.89 : x
  2. Step 2: Convert to fraction form
    1,423.48/1,964.52 = 833.89/x
  3. Step 3: Cross multiply
    1,423.48x = 1,964.52 × 833.89
  4. Step 4: Simplify right side
    1,423.48x = 1,638,193.58
  5. Step 5: Solve for x
    x = 1,638,193.58/1,423.48
  6. Step 6: Final answer
    x = 1,150.84

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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.