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Finding the Fourth Proportional to 699.94, 1,049.14 and 283.30

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Solution

The fourth proportional to 699.94, 1,049.14 and 283.30 is: 424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.94 : 1,049.14 = 283.30 : x
  2. Step 2: Convert to fraction form
    699.94/1,049.14 = 283.30/x
  3. Step 3: Cross multiply
    699.94x = 1,049.14 × 283.30
  4. Step 4: Simplify right side
    699.94x = 297,221.36
  5. Step 5: Solve for x
    x = 297,221.36/699.94
  6. Step 6: Final answer
    x = 424.64

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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.