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Finding the Fourth Proportional to 1,369.30, 1,889.63 and 748.30

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Solution

The fourth proportional to 1,369.30, 1,889.63 and 748.30 is: 1,032.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.30 : 1,889.63 = 748.30 : x
  2. Step 2: Convert to fraction form
    1,369.30/1,889.63 = 748.30/x
  3. Step 3: Cross multiply
    1,369.30x = 1,889.63 × 748.30
  4. Step 4: Simplify right side
    1,369.30x = 1,414,014.36
  5. Step 5: Solve for x
    x = 1,414,014.36/1,369.30
  6. Step 6: Final answer
    x = 1,032.65

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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.