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Finding the Fourth Proportional to 1,190.25, 1,642.52 and 659.11

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Solution

The fourth proportional to 1,190.25, 1,642.52 and 659.11 is: 909.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.25 : 1,642.52 = 659.11 : x
  2. Step 2: Convert to fraction form
    1,190.25/1,642.52 = 659.11/x
  3. Step 3: Cross multiply
    1,190.25x = 1,642.52 × 659.11
  4. Step 4: Simplify right side
    1,190.25x = 1,082,594.79
  5. Step 5: Solve for x
    x = 1,082,594.79/1,190.25
  6. Step 6: Final answer
    x = 909.55

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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.