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Finding the Fourth Proportional to 1,594.76, 2,389.97 and 771.39

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Solution

The fourth proportional to 1,594.76, 2,389.97 and 771.39 is: 1,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.76 : 2,389.97 = 771.39 : x
  2. Step 2: Convert to fraction form
    1,594.76/2,389.97 = 771.39/x
  3. Step 3: Cross multiply
    1,594.76x = 2,389.97 × 771.39
  4. Step 4: Simplify right side
    1,594.76x = 1,843,600.89
  5. Step 5: Solve for x
    x = 1,843,600.89/1,594.76
  6. Step 6: Final answer
    x = 1,156.04

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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.