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Finding the Fourth Proportional to 1,014.75, 1,522.05 and 466.78

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Solution

The fourth proportional to 1,014.75, 1,522.05 and 466.78 is: 700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.75 : 1,522.05 = 466.78 : x
  2. Step 2: Convert to fraction form
    1,014.75/1,522.05 = 466.78/x
  3. Step 3: Cross multiply
    1,014.75x = 1,522.05 × 466.78
  4. Step 4: Simplify right side
    1,014.75x = 710,462.50
  5. Step 5: Solve for x
    x = 710,462.50/1,014.75
  6. Step 6: Final answer
    x = 700.14

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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.