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Finding the Fourth Proportional to 884.19, 1,219.23 and 589.53

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Solution

The fourth proportional to 884.19, 1,219.23 and 589.53 is: 812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.19 : 1,219.23 = 589.53 : x
  2. Step 2: Convert to fraction form
    884.19/1,219.23 = 589.53/x
  3. Step 3: Cross multiply
    884.19x = 1,219.23 × 589.53
  4. Step 4: Simplify right side
    884.19x = 718,772.66
  5. Step 5: Solve for x
    x = 718,772.66/884.19
  6. Step 6: Final answer
    x = 812.92

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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.