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Finding the Fourth Proportional to 702.72, 1,051.52 and 445.44

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Solution

The fourth proportional to 702.72, 1,051.52 and 445.44 is: 666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.72 : 1,051.52 = 445.44 : x
  2. Step 2: Convert to fraction form
    702.72/1,051.52 = 445.44/x
  3. Step 3: Cross multiply
    702.72x = 1,051.52 × 445.44
  4. Step 4: Simplify right side
    702.72x = 468,389.07
  5. Step 5: Solve for x
    x = 468,389.07/702.72
  6. Step 6: Final answer
    x = 666.54

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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.