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Finding the Fourth Proportional to 1,210.13, 1,669.97 and 658.13

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Solution

The fourth proportional to 1,210.13, 1,669.97 and 658.13 is: 908.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.13 : 1,669.97 = 658.13 : x
  2. Step 2: Convert to fraction form
    1,210.13/1,669.97 = 658.13/x
  3. Step 3: Cross multiply
    1,210.13x = 1,669.97 × 658.13
  4. Step 4: Simplify right side
    1,210.13x = 1,099,057.36
  5. Step 5: Solve for x
    x = 1,099,057.36/1,210.13
  6. Step 6: Final answer
    x = 908.21

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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.