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Finding the Fourth Proportional to 1,206.18, 1,664.64 and 709.02

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Solution

The fourth proportional to 1,206.18, 1,664.64 and 709.02 is: 978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.18 : 1,664.64 = 709.02 : x
  2. Step 2: Convert to fraction form
    1,206.18/1,664.64 = 709.02/x
  3. Step 3: Cross multiply
    1,206.18x = 1,664.64 × 709.02
  4. Step 4: Simplify right side
    1,206.18x = 1,180,263.05
  5. Step 5: Solve for x
    x = 1,180,263.05/1,206.18
  6. Step 6: Final answer
    x = 978.51

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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.