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Finding the Fourth Proportional to 839.45, 1,158.50 and 490.20

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Solution

The fourth proportional to 839.45, 1,158.50 and 490.20 is: 676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.45 : 1,158.50 = 490.20 : x
  2. Step 2: Convert to fraction form
    839.45/1,158.50 = 490.20/x
  3. Step 3: Cross multiply
    839.45x = 1,158.50 × 490.20
  4. Step 4: Simplify right side
    839.45x = 567,894.25
  5. Step 5: Solve for x
    x = 567,894.25/839.45
  6. Step 6: Final answer
    x = 676.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.