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Finding the Fourth Proportional to 1,360.05, 1,876.33 and 835.17

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Solution

The fourth proportional to 1,360.05, 1,876.33 and 835.17 is: 1,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.05 : 1,876.33 = 835.17 : x
  2. Step 2: Convert to fraction form
    1,360.05/1,876.33 = 835.17/x
  3. Step 3: Cross multiply
    1,360.05x = 1,876.33 × 835.17
  4. Step 4: Simplify right side
    1,360.05x = 1,567,054.53
  5. Step 5: Solve for x
    x = 1,567,054.53/1,360.05
  6. Step 6: Final answer
    x = 1,152.20

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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.