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Finding the Fourth Proportional to 1,014.57, 1,522.05 and 860.79

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Solution

The fourth proportional to 1,014.57, 1,522.05 and 860.79 is: 1,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.57 : 1,522.05 = 860.79 : x
  2. Step 2: Convert to fraction form
    1,014.57/1,522.05 = 860.79/x
  3. Step 3: Cross multiply
    1,014.57x = 1,522.05 × 860.79
  4. Step 4: Simplify right side
    1,014.57x = 1,310,165.42
  5. Step 5: Solve for x
    x = 1,310,165.42/1,014.57
  6. Step 6: Final answer
    x = 1,291.35

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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.