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Finding the Fourth Proportional to 899.42, 1,349.19 and 283.15

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Solution

The fourth proportional to 899.42, 1,349.19 and 283.15 is: 424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.42 : 1,349.19 = 283.15 : x
  2. Step 2: Convert to fraction form
    899.42/1,349.19 = 283.15/x
  3. Step 3: Cross multiply
    899.42x = 1,349.19 × 283.15
  4. Step 4: Simplify right side
    899.42x = 382,023.15
  5. Step 5: Solve for x
    x = 382,023.15/899.42
  6. Step 6: Final answer
    x = 424.74

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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.