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Finding the Fourth Proportional to 1,139.34, 1,709.01 and 706.26

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Solution

The fourth proportional to 1,139.34, 1,709.01 and 706.26 is: 1,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.34 : 1,709.01 = 706.26 : x
  2. Step 2: Convert to fraction form
    1,139.34/1,709.01 = 706.26/x
  3. Step 3: Cross multiply
    1,139.34x = 1,709.01 × 706.26
  4. Step 4: Simplify right side
    1,139.34x = 1,207,005.40
  5. Step 5: Solve for x
    x = 1,207,005.40/1,139.34
  6. Step 6: Final answer
    x = 1,059.39

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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.