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Finding the Fourth Proportional to 1,207.70, 1,664.70 and 814.04

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Solution

The fourth proportional to 1,207.70, 1,664.70 and 814.04 is: 1,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.70 : 1,664.70 = 814.04 : x
  2. Step 2: Convert to fraction form
    1,207.70/1,664.70 = 814.04/x
  3. Step 3: Cross multiply
    1,207.70x = 1,664.70 × 814.04
  4. Step 4: Simplify right side
    1,207.70x = 1,355,132.39
  5. Step 5: Solve for x
    x = 1,355,132.39/1,207.70
  6. Step 6: Final answer
    x = 1,122.08

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1.5x scale

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.