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Finding the Fourth Proportional to 1,345.43, 1,856.63 and 814.46

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Solution

The fourth proportional to 1,345.43, 1,856.63 and 814.46 is: 1,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.43 : 1,856.63 = 814.46 : x
  2. Step 2: Convert to fraction form
    1,345.43/1,856.63 = 814.46/x
  3. Step 3: Cross multiply
    1,345.43x = 1,856.63 × 814.46
  4. Step 4: Simplify right side
    1,345.43x = 1,512,143.62
  5. Step 5: Solve for x
    x = 1,512,143.62/1,345.43
  6. Step 6: Final answer
    x = 1,123.91

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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.