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Finding the Fourth Proportional to 890.98, 1,328.62 and 829.42

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Solution

The fourth proportional to 890.98, 1,328.62 and 829.42 is: 1,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.98 : 1,328.62 = 829.42 : x
  2. Step 2: Convert to fraction form
    890.98/1,328.62 = 829.42/x
  3. Step 3: Cross multiply
    890.98x = 1,328.62 × 829.42
  4. Step 4: Simplify right side
    890.98x = 1,101,979.85
  5. Step 5: Solve for x
    x = 1,101,979.85/890.98
  6. Step 6: Final answer
    x = 1,236.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.