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Finding the Fourth Proportional to 1,389.88, 2,084.91 and 465.40

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Solution

The fourth proportional to 1,389.88, 2,084.91 and 465.40 is: 698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.88 : 2,084.91 = 465.40 : x
  2. Step 2: Convert to fraction form
    1,389.88/2,084.91 = 465.40/x
  3. Step 3: Cross multiply
    1,389.88x = 2,084.91 × 465.40
  4. Step 4: Simplify right side
    1,389.88x = 970,317.11
  5. Step 5: Solve for x
    x = 970,317.11/1,389.88
  6. Step 6: Final answer
    x = 698.13

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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.