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Finding the Fourth Proportional to 702.30, 969.23 and 516.65

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Solution

The fourth proportional to 702.30, 969.23 and 516.65 is: 713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.30 : 969.23 = 516.65 : x
  2. Step 2: Convert to fraction form
    702.30/969.23 = 516.65/x
  3. Step 3: Cross multiply
    702.30x = 969.23 × 516.65
  4. Step 4: Simplify right side
    702.30x = 500,749.12
  5. Step 5: Solve for x
    x = 500,749.12/702.30
  6. Step 6: Final answer
    x = 713.01

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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.