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Finding the Fourth Proportional to 710.57, 1,066.02 and 299.47

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Solution

The fourth proportional to 710.57, 1,066.02 and 299.47 is: 449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.57 : 1,066.02 = 299.47 : x
  2. Step 2: Convert to fraction form
    710.57/1,066.02 = 299.47/x
  3. Step 3: Cross multiply
    710.57x = 1,066.02 × 299.47
  4. Step 4: Simplify right side
    710.57x = 319,241.01
  5. Step 5: Solve for x
    x = 319,241.01/710.57
  6. Step 6: Final answer
    x = 449.27

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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.