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Finding the Fourth Proportional to 1,349.74, 2,024.60 and 528.59

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Solution

The fourth proportional to 1,349.74, 2,024.60 and 528.59 is: 792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.74 : 2,024.60 = 528.59 : x
  2. Step 2: Convert to fraction form
    1,349.74/2,024.60 = 528.59/x
  3. Step 3: Cross multiply
    1,349.74x = 2,024.60 × 528.59
  4. Step 4: Simplify right side
    1,349.74x = 1,070,170.55
  5. Step 5: Solve for x
    x = 1,070,170.55/1,349.74
  6. Step 6: Final answer
    x = 792.87

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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.