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Finding the Fourth Proportional to 1,030.88, 1,422.41 and 834.05

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Solution

The fourth proportional to 1,030.88, 1,422.41 and 834.05 is: 1,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.88 : 1,422.41 = 834.05 : x
  2. Step 2: Convert to fraction form
    1,030.88/1,422.41 = 834.05/x
  3. Step 3: Cross multiply
    1,030.88x = 1,422.41 × 834.05
  4. Step 4: Simplify right side
    1,030.88x = 1,186,356.89
  5. Step 5: Solve for x
    x = 1,186,356.89/1,030.88
  6. Step 6: Final answer
    x = 1,150.82

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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.