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Finding the Fourth Proportional to 1,209.32, 1,669.21 and 712.25

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Solution

The fourth proportional to 1,209.32, 1,669.21 and 712.25 is: 983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.32 : 1,669.21 = 712.25 : x
  2. Step 2: Convert to fraction form
    1,209.32/1,669.21 = 712.25/x
  3. Step 3: Cross multiply
    1,209.32x = 1,669.21 × 712.25
  4. Step 4: Simplify right side
    1,209.32x = 1,188,899.66
  5. Step 5: Solve for x
    x = 1,188,899.66/1,209.32
  6. Step 6: Final answer
    x = 983.11

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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.