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Finding the Fourth Proportional to 1,392.71, 2,089.23 and 468.36

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Solution

The fourth proportional to 1,392.71, 2,089.23 and 468.36 is: 702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.71 : 2,089.23 = 468.36 : x
  2. Step 2: Convert to fraction form
    1,392.71/2,089.23 = 468.36/x
  3. Step 3: Cross multiply
    1,392.71x = 2,089.23 × 468.36
  4. Step 4: Simplify right side
    1,392.71x = 978,511.76
  5. Step 5: Solve for x
    x = 978,511.76/1,392.71
  6. Step 6: Final answer
    x = 702.60

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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.