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Finding the Fourth Proportional to 1,392.61, 2,089.15 and 468.26

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Solution

The fourth proportional to 1,392.61, 2,089.15 and 468.26 is: 702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.61 : 2,089.15 = 468.26 : x
  2. Step 2: Convert to fraction form
    1,392.61/2,089.15 = 468.26/x
  3. Step 3: Cross multiply
    1,392.61x = 2,089.15 × 468.26
  4. Step 4: Simplify right side
    1,392.61x = 978,265.38
  5. Step 5: Solve for x
    x = 978,265.38/1,392.61
  6. Step 6: Final answer
    x = 702.47

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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.