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Finding the Fourth Proportional to 899.90, 1,349.81 and 283.62

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Solution

The fourth proportional to 899.90, 1,349.81 and 283.62 is: 425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.90 : 1,349.81 = 283.62 : x
  2. Step 2: Convert to fraction form
    899.90/1,349.81 = 283.62/x
  3. Step 3: Cross multiply
    899.90x = 1,349.81 × 283.62
  4. Step 4: Simplify right side
    899.90x = 382,831.69
  5. Step 5: Solve for x
    x = 382,831.69/899.90
  6. Step 6: Final answer
    x = 425.42

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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.