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Finding the Fourth Proportional to 1,085.15, 1,627.56 and 354.63

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Solution

The fourth proportional to 1,085.15, 1,627.56 and 354.63 is: 531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.15 : 1,627.56 = 354.63 : x
  2. Step 2: Convert to fraction form
    1,085.15/1,627.56 = 354.63/x
  3. Step 3: Cross multiply
    1,085.15x = 1,627.56 × 354.63
  4. Step 4: Simplify right side
    1,085.15x = 577,174.35
  5. Step 5: Solve for x
    x = 577,174.35/1,085.15
  6. Step 6: Final answer
    x = 531.89

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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.