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Finding the Fourth Proportional to 990.32, 1,367.80 and 658.16

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Solution

The fourth proportional to 990.32, 1,367.80 and 658.16 is: 909.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.32 : 1,367.80 = 658.16 : x
  2. Step 2: Convert to fraction form
    990.32/1,367.80 = 658.16/x
  3. Step 3: Cross multiply
    990.32x = 1,367.80 × 658.16
  4. Step 4: Simplify right side
    990.32x = 900,231.25
  5. Step 5: Solve for x
    x = 900,231.25/990.32
  6. Step 6: Final answer
    x = 909.03

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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.