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Finding the Fourth Proportional to 713.96, 1,069.32 and 349.04

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Solution

The fourth proportional to 713.96, 1,069.32 and 349.04 is: 522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.96 : 1,069.32 = 349.04 : x
  2. Step 2: Convert to fraction form
    713.96/1,069.32 = 349.04/x
  3. Step 3: Cross multiply
    713.96x = 1,069.32 × 349.04
  4. Step 4: Simplify right side
    713.96x = 373,235.45
  5. Step 5: Solve for x
    x = 373,235.45/713.96
  6. Step 6: Final answer
    x = 522.77

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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.