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Finding the Fourth Proportional to 899.64, 1,349.34 and 283.20

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Solution

The fourth proportional to 899.64, 1,349.34 and 283.20 is: 424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.64 : 1,349.34 = 283.20 : x
  2. Step 2: Convert to fraction form
    899.64/1,349.34 = 283.20/x
  3. Step 3: Cross multiply
    899.64x = 1,349.34 × 283.20
  4. Step 4: Simplify right side
    899.64x = 382,133.09
  5. Step 5: Solve for x
    x = 382,133.09/899.64
  6. Step 6: Final answer
    x = 424.76

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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.