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Finding the Fourth Proportional to 1,174.02, 1,760.14 and 711.68

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Solution

The fourth proportional to 1,174.02, 1,760.14 and 711.68 is: 1,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.02 : 1,760.14 = 711.68 : x
  2. Step 2: Convert to fraction form
    1,174.02/1,760.14 = 711.68/x
  3. Step 3: Cross multiply
    1,174.02x = 1,760.14 × 711.68
  4. Step 4: Simplify right side
    1,174.02x = 1,252,656.44
  5. Step 5: Solve for x
    x = 1,252,656.44/1,174.02
  6. Step 6: Final answer
    x = 1,066.98

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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.