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Finding the Fourth Proportional to 1,255.74, 1,881.15 and 596.67

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Solution

The fourth proportional to 1,255.74, 1,881.15 and 596.67 is: 893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.74 : 1,881.15 = 596.67 : x
  2. Step 2: Convert to fraction form
    1,255.74/1,881.15 = 596.67/x
  3. Step 3: Cross multiply
    1,255.74x = 1,881.15 × 596.67
  4. Step 4: Simplify right side
    1,255.74x = 1,122,430.47
  5. Step 5: Solve for x
    x = 1,122,430.47/1,255.74
  6. Step 6: Final answer
    x = 893.84

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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.