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Finding the Fourth Proportional to 1,087.67, 1,633.30 and 713.04

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Solution

The fourth proportional to 1,087.67, 1,633.30 and 713.04 is: 1,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.67 : 1,633.30 = 713.04 : x
  2. Step 2: Convert to fraction form
    1,087.67/1,633.30 = 713.04/x
  3. Step 3: Cross multiply
    1,087.67x = 1,633.30 × 713.04
  4. Step 4: Simplify right side
    1,087.67x = 1,164,608.23
  5. Step 5: Solve for x
    x = 1,164,608.23/1,087.67
  6. Step 6: Final answer
    x = 1,070.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.