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Finding the Fourth Proportional to 699.52, 1,049.16 and 288.64

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Solution

The fourth proportional to 699.52, 1,049.16 and 288.64 is: 432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.52 : 1,049.16 = 288.64 : x
  2. Step 2: Convert to fraction form
    699.52/1,049.16 = 288.64/x
  3. Step 3: Cross multiply
    699.52x = 1,049.16 × 288.64
  4. Step 4: Simplify right side
    699.52x = 302,829.54
  5. Step 5: Solve for x
    x = 302,829.54/699.52
  6. Step 6: Final answer
    x = 432.91

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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.