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Finding the Fourth Proportional to 702.88, 1,054.32 and 668.32

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Solution

The fourth proportional to 702.88, 1,054.32 and 668.32 is: 1,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.88 : 1,054.32 = 668.32 : x
  2. Step 2: Convert to fraction form
    702.88/1,054.32 = 668.32/x
  3. Step 3: Cross multiply
    702.88x = 1,054.32 × 668.32
  4. Step 4: Simplify right side
    702.88x = 704,623.14
  5. Step 5: Solve for x
    x = 704,623.14/702.88
  6. Step 6: Final answer
    x = 1,002.48

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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.