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Finding the Fourth Proportional to 890.92, 1,229.34 and 596.08

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Solution

The fourth proportional to 890.92, 1,229.34 and 596.08 is: 822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.92 : 1,229.34 = 596.08 : x
  2. Step 2: Convert to fraction form
    890.92/1,229.34 = 596.08/x
  3. Step 3: Cross multiply
    890.92x = 1,229.34 × 596.08
  4. Step 4: Simplify right side
    890.92x = 732,784.99
  5. Step 5: Solve for x
    x = 732,784.99/890.92
  6. Step 6: Final answer
    x = 822.50

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Double scale
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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.