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Finding the Fourth Proportional to 930.30, 1,396.32 and 707.14

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Solution

The fourth proportional to 930.30, 1,396.32 and 707.14 is: 1,061.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.30 : 1,396.32 = 707.14 : x
  2. Step 2: Convert to fraction form
    930.30/1,396.32 = 707.14/x
  3. Step 3: Cross multiply
    930.30x = 1,396.32 × 707.14
  4. Step 4: Simplify right side
    930.30x = 987,393.72
  5. Step 5: Solve for x
    x = 987,393.72/930.30
  6. Step 6: Final answer
    x = 1,061.37

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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.