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Finding the Fourth Proportional to 890.91, 1,229.57 and 498.01

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Solution

The fourth proportional to 890.91, 1,229.57 and 498.01 is: 687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.91 : 1,229.57 = 498.01 : x
  2. Step 2: Convert to fraction form
    890.91/1,229.57 = 498.01/x
  3. Step 3: Cross multiply
    890.91x = 1,229.57 × 498.01
  4. Step 4: Simplify right side
    890.91x = 612,335.67
  5. Step 5: Solve for x
    x = 612,335.67/890.91
  6. Step 6: Final answer
    x = 687.32

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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.