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Finding the Fourth Proportional to 1,355.56, 1,870.86 and 824.46

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Solution

The fourth proportional to 1,355.56, 1,870.86 and 824.46 is: 1,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.56 : 1,870.86 = 824.46 : x
  2. Step 2: Convert to fraction form
    1,355.56/1,870.86 = 824.46/x
  3. Step 3: Cross multiply
    1,355.56x = 1,870.86 × 824.46
  4. Step 4: Simplify right side
    1,355.56x = 1,542,449.24
  5. Step 5: Solve for x
    x = 1,542,449.24/1,355.56
  6. Step 6: Final answer
    x = 1,137.87

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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.