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Finding the Fourth Proportional to 1,389.79, 2,084.64 and 415.90

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Solution

The fourth proportional to 1,389.79, 2,084.64 and 415.90 is: 623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.79 : 2,084.64 = 415.90 : x
  2. Step 2: Convert to fraction form
    1,389.79/2,084.64 = 415.90/x
  3. Step 3: Cross multiply
    1,389.79x = 2,084.64 × 415.90
  4. Step 4: Simplify right side
    1,389.79x = 867,001.78
  5. Step 5: Solve for x
    x = 867,001.78/1,389.79
  6. Step 6: Final answer
    x = 623.84

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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.