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Finding the Fourth Proportional to 1,369.44, 2,053.58 and 589.82

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Solution

The fourth proportional to 1,369.44, 2,053.58 and 589.82 is: 884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.44 : 2,053.58 = 589.82 : x
  2. Step 2: Convert to fraction form
    1,369.44/2,053.58 = 589.82/x
  3. Step 3: Cross multiply
    1,369.44x = 2,053.58 × 589.82
  4. Step 4: Simplify right side
    1,369.44x = 1,211,229.34
  5. Step 5: Solve for x
    x = 1,211,229.34/1,369.44
  6. Step 6: Final answer
    x = 884.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.