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Finding the Fourth Proportional to 1,105.07, 1,657.56 and 283.37

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Solution

The fourth proportional to 1,105.07, 1,657.56 and 283.37 is: 425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.07 : 1,657.56 = 283.37 : x
  2. Step 2: Convert to fraction form
    1,105.07/1,657.56 = 283.37/x
  3. Step 3: Cross multiply
    1,105.07x = 1,657.56 × 283.37
  4. Step 4: Simplify right side
    1,105.07x = 469,695.55
  5. Step 5: Solve for x
    x = 469,695.55/1,105.07
  6. Step 6: Final answer
    x = 425.04

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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.