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Finding the Fourth Proportional to 1,738.50, 2,607.80 and 584.25

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Solution

The fourth proportional to 1,738.50, 2,607.80 and 584.25 is: 876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.50 : 2,607.80 = 584.25 : x
  2. Step 2: Convert to fraction form
    1,738.50/2,607.80 = 584.25/x
  3. Step 3: Cross multiply
    1,738.50x = 2,607.80 × 584.25
  4. Step 4: Simplify right side
    1,738.50x = 1,523,604.23
  5. Step 5: Solve for x
    x = 1,523,604.23/1,738.50
  6. Step 6: Final answer
    x = 876.39

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1.5x scale

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.