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Finding the Fourth Proportional to 1,374.86, 2,060.54 and 593.98

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Solution

The fourth proportional to 1,374.86, 2,060.54 and 593.98 is: 890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.86 : 2,060.54 = 593.98 : x
  2. Step 2: Convert to fraction form
    1,374.86/2,060.54 = 593.98/x
  3. Step 3: Cross multiply
    1,374.86x = 2,060.54 × 593.98
  4. Step 4: Simplify right side
    1,374.86x = 1,223,919.55
  5. Step 5: Solve for x
    x = 1,223,919.55/1,374.86
  6. Step 6: Final answer
    x = 890.21

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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.