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Finding the Fourth Proportional to 696.02, 1,043.88 and 306.14

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Solution

The fourth proportional to 696.02, 1,043.88 and 306.14 is: 459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.02 : 1,043.88 = 306.14 : x
  2. Step 2: Convert to fraction form
    696.02/1,043.88 = 306.14/x
  3. Step 3: Cross multiply
    696.02x = 1,043.88 × 306.14
  4. Step 4: Simplify right side
    696.02x = 319,573.42
  5. Step 5: Solve for x
    x = 319,573.42/696.02
  6. Step 6: Final answer
    x = 459.14

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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.