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Finding the Fourth Proportional to 1,335.05, 1,842.33 and 837.95

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Solution

The fourth proportional to 1,335.05, 1,842.33 and 837.95 is: 1,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.05 : 1,842.33 = 837.95 : x
  2. Step 2: Convert to fraction form
    1,335.05/1,842.33 = 837.95/x
  3. Step 3: Cross multiply
    1,335.05x = 1,842.33 × 837.95
  4. Step 4: Simplify right side
    1,335.05x = 1,543,780.42
  5. Step 5: Solve for x
    x = 1,543,780.42/1,335.05
  6. Step 6: Final answer
    x = 1,156.35

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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.