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Finding the Fourth Proportional to 702.65, 1,053.99 and 662.56

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Solution

The fourth proportional to 702.65, 1,053.99 and 662.56 is: 993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.65 : 1,053.99 = 662.56 : x
  2. Step 2: Convert to fraction form
    702.65/1,053.99 = 662.56/x
  3. Step 3: Cross multiply
    702.65x = 1,053.99 × 662.56
  4. Step 4: Simplify right side
    702.65x = 698,328.98
  5. Step 5: Solve for x
    x = 698,328.98/702.65
  6. Step 6: Final answer
    x = 993.85

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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.