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Finding the Fourth Proportional to 1,105.40, 1,657.99 and 283.65

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Solution

The fourth proportional to 1,105.40, 1,657.99 and 283.65 is: 425.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.40 : 1,657.99 = 283.65 : x
  2. Step 2: Convert to fraction form
    1,105.40/1,657.99 = 283.65/x
  3. Step 3: Cross multiply
    1,105.40x = 1,657.99 × 283.65
  4. Step 4: Simplify right side
    1,105.40x = 470,288.86
  5. Step 5: Solve for x
    x = 470,288.86/1,105.40
  6. Step 6: Final answer
    x = 425.45

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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.