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Finding the Fourth Proportional to 834.90, 1,151.60 and 710.06

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Solution

The fourth proportional to 834.90, 1,151.60 and 710.06 is: 979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.90 : 1,151.60 = 710.06 : x
  2. Step 2: Convert to fraction form
    834.90/1,151.60 = 710.06/x
  3. Step 3: Cross multiply
    834.90x = 1,151.60 × 710.06
  4. Step 4: Simplify right side
    834.90x = 817,705.10
  5. Step 5: Solve for x
    x = 817,705.10/834.90
  6. Step 6: Final answer
    x = 979.40

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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.