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Finding the Fourth Proportional to 1,014.95, 1,522.48 and 466.99

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Solution

The fourth proportional to 1,014.95, 1,522.48 and 466.99 is: 700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.95 : 1,522.48 = 466.99 : x
  2. Step 2: Convert to fraction form
    1,014.95/1,522.48 = 466.99/x
  3. Step 3: Cross multiply
    1,014.95x = 1,522.48 × 466.99
  4. Step 4: Simplify right side
    1,014.95x = 710,982.94
  5. Step 5: Solve for x
    x = 710,982.94/1,014.95
  6. Step 6: Final answer
    x = 700.51

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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.