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Finding the Fourth Proportional to 1,170.34, 1,614.34 and 697.93

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Solution

The fourth proportional to 1,170.34, 1,614.34 and 697.93 is: 962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.34 : 1,614.34 = 697.93 : x
  2. Step 2: Convert to fraction form
    1,170.34/1,614.34 = 697.93/x
  3. Step 3: Cross multiply
    1,170.34x = 1,614.34 × 697.93
  4. Step 4: Simplify right side
    1,170.34x = 1,126,696.32
  5. Step 5: Solve for x
    x = 1,126,696.32/1,170.34
  6. Step 6: Final answer
    x = 962.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.