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Finding the Fourth Proportional to 1,335.23, 1,842.13 and 837.69

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Solution

The fourth proportional to 1,335.23, 1,842.13 and 837.69 is: 1,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.23 : 1,842.13 = 837.69 : x
  2. Step 2: Convert to fraction form
    1,335.23/1,842.13 = 837.69/x
  3. Step 3: Cross multiply
    1,335.23x = 1,842.13 × 837.69
  4. Step 4: Simplify right side
    1,335.23x = 1,543,123.31
  5. Step 5: Solve for x
    x = 1,543,123.31/1,335.23
  6. Step 6: Final answer
    x = 1,155.70

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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.