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Finding the Fourth Proportional to 1,423.10, 1,964.05 and 833.63

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Solution

The fourth proportional to 1,423.10, 1,964.05 and 833.63 is: 1,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.10 : 1,964.05 = 833.63 : x
  2. Step 2: Convert to fraction form
    1,423.10/1,964.05 = 833.63/x
  3. Step 3: Cross multiply
    1,423.10x = 1,964.05 × 833.63
  4. Step 4: Simplify right side
    1,423.10x = 1,637,279.10
  5. Step 5: Solve for x
    x = 1,637,279.10/1,423.10
  6. Step 6: Final answer
    x = 1,150.50

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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.