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Finding the Fourth Proportional to 1,070.70, 1,476.27 and 834.18

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Solution

The fourth proportional to 1,070.70, 1,476.27 and 834.18 is: 1,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.70 : 1,476.27 = 834.18 : x
  2. Step 2: Convert to fraction form
    1,070.70/1,476.27 = 834.18/x
  3. Step 3: Cross multiply
    1,070.70x = 1,476.27 × 834.18
  4. Step 4: Simplify right side
    1,070.70x = 1,231,474.91
  5. Step 5: Solve for x
    x = 1,231,474.91/1,070.70
  6. Step 6: Final answer
    x = 1,150.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.