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Finding the Fourth Proportional to 990.35, 1,367.83 and 658.20

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Solution

The fourth proportional to 990.35, 1,367.83 and 658.20 is: 909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.35 : 1,367.83 = 658.20 : x
  2. Step 2: Convert to fraction form
    990.35/1,367.83 = 658.20/x
  3. Step 3: Cross multiply
    990.35x = 1,367.83 × 658.20
  4. Step 4: Simplify right side
    990.35x = 900,305.71
  5. Step 5: Solve for x
    x = 900,305.71/990.35
  6. Step 6: Final answer
    x = 909.08

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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.