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Finding the Fourth Proportional to 1,260.15, 1,889.62 and 529.53

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Solution

The fourth proportional to 1,260.15, 1,889.62 and 529.53 is: 794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.15 : 1,889.62 = 529.53 : x
  2. Step 2: Convert to fraction form
    1,260.15/1,889.62 = 529.53/x
  3. Step 3: Cross multiply
    1,260.15x = 1,889.62 × 529.53
  4. Step 4: Simplify right side
    1,260.15x = 1,000,609.15
  5. Step 5: Solve for x
    x = 1,000,609.15/1,260.15
  6. Step 6: Final answer
    x = 794.04

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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.