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Finding the Fourth Proportional to 702.63, 1,053.84 and 441.83

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Solution

The fourth proportional to 702.63, 1,053.84 and 441.83 is: 662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.63 : 1,053.84 = 441.83 : x
  2. Step 2: Convert to fraction form
    702.63/1,053.84 = 441.83/x
  3. Step 3: Cross multiply
    702.63x = 1,053.84 × 441.83
  4. Step 4: Simplify right side
    702.63x = 465,621.10
  5. Step 5: Solve for x
    x = 465,621.10/702.63
  6. Step 6: Final answer
    x = 662.68

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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.