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Finding the Fourth Proportional to 914.32, 1,369.59 and 680.50

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Solution

The fourth proportional to 914.32, 1,369.59 and 680.50 is: 1,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.32 : 1,369.59 = 680.50 : x
  2. Step 2: Convert to fraction form
    914.32/1,369.59 = 680.50/x
  3. Step 3: Cross multiply
    914.32x = 1,369.59 × 680.50
  4. Step 4: Simplify right side
    914.32x = 932,006.00
  5. Step 5: Solve for x
    x = 932,006.00/914.32
  6. Step 6: Final answer
    x = 1,019.34

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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.