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Finding the Fourth Proportional to 1,389.60, 2,084.34 and 567.66

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Solution

The fourth proportional to 1,389.60, 2,084.34 and 567.66 is: 851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.60 : 2,084.34 = 567.66 : x
  2. Step 2: Convert to fraction form
    1,389.60/2,084.34 = 567.66/x
  3. Step 3: Cross multiply
    1,389.60x = 2,084.34 × 567.66
  4. Step 4: Simplify right side
    1,389.60x = 1,183,196.44
  5. Step 5: Solve for x
    x = 1,183,196.44/1,389.60
  6. Step 6: Final answer
    x = 851.47

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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.