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Finding the Fourth Proportional to 1,014.21, 1,521.11 and 283.62

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Solution

The fourth proportional to 1,014.21, 1,521.11 and 283.62 is: 425.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.21 : 1,521.11 = 283.62 : x
  2. Step 2: Convert to fraction form
    1,014.21/1,521.11 = 283.62/x
  3. Step 3: Cross multiply
    1,014.21x = 1,521.11 × 283.62
  4. Step 4: Simplify right side
    1,014.21x = 431,415.80
  5. Step 5: Solve for x
    x = 431,415.80/1,014.21
  6. Step 6: Final answer
    x = 425.37

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.