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Finding the Fourth Proportional to 1,206.34, 1,664.30 and 709

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Solution

The fourth proportional to 1,206.34, 1,664.30 and 709 is: 978.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.34 : 1,664.30 = 709 : x
  2. Step 2: Convert to fraction form
    1,206.34/1,664.30 = 709/x
  3. Step 3: Cross multiply
    1,206.34x = 1,664.30 × 709
  4. Step 4: Simplify right side
    1,206.34x = 1,179,988.70
  5. Step 5: Solve for x
    x = 1,179,988.70/1,206.34
  6. Step 6: Final answer
    x = 978.16

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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.