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Finding the Fourth Proportional to 1,105.05, 1,657.57 and 283.32

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Solution

The fourth proportional to 1,105.05, 1,657.57 and 283.32 is: 424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.05 : 1,657.57 = 283.32 : x
  2. Step 2: Convert to fraction form
    1,105.05/1,657.57 = 283.32/x
  3. Step 3: Cross multiply
    1,105.05x = 1,657.57 × 283.32
  4. Step 4: Simplify right side
    1,105.05x = 469,628.24
  5. Step 5: Solve for x
    x = 469,628.24/1,105.05
  6. Step 6: Final answer
    x = 424.98

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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.