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Finding the Fourth Proportional to 880.09, 1,212.24 and 705.13

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Solution

The fourth proportional to 880.09, 1,212.24 and 705.13 is: 971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.09 : 1,212.24 = 705.13 : x
  2. Step 2: Convert to fraction form
    880.09/1,212.24 = 705.13/x
  3. Step 3: Cross multiply
    880.09x = 1,212.24 × 705.13
  4. Step 4: Simplify right side
    880.09x = 854,786.79
  5. Step 5: Solve for x
    x = 854,786.79/880.09
  6. Step 6: Final answer
    x = 971.25

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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.