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Finding the Fourth Proportional to 1,070.52, 1,476.78 and 834.04

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Solution

The fourth proportional to 1,070.52, 1,476.78 and 834.04 is: 1,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.52 : 1,476.78 = 834.04 : x
  2. Step 2: Convert to fraction form
    1,070.52/1,476.78 = 834.04/x
  3. Step 3: Cross multiply
    1,070.52x = 1,476.78 × 834.04
  4. Step 4: Simplify right side
    1,070.52x = 1,231,693.59
  5. Step 5: Solve for x
    x = 1,231,693.59/1,070.52
  6. Step 6: Final answer
    x = 1,150.56

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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.