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Finding the Fourth Proportional to 1,763.02, 2,644.46 and 593.74

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Solution

The fourth proportional to 1,763.02, 2,644.46 and 593.74 is: 890.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.02 : 2,644.46 = 593.74 : x
  2. Step 2: Convert to fraction form
    1,763.02/2,644.46 = 593.74/x
  3. Step 3: Cross multiply
    1,763.02x = 2,644.46 × 593.74
  4. Step 4: Simplify right side
    1,763.02x = 1,570,121.68
  5. Step 5: Solve for x
    x = 1,570,121.68/1,763.02
  6. Step 6: Final answer
    x = 890.59

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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.