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Finding the Fourth Proportional to 1,009.21, 1,514.04 and 522.15

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Solution

The fourth proportional to 1,009.21, 1,514.04 and 522.15 is: 783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.21 : 1,514.04 = 522.15 : x
  2. Step 2: Convert to fraction form
    1,009.21/1,514.04 = 522.15/x
  3. Step 3: Cross multiply
    1,009.21x = 1,514.04 × 522.15
  4. Step 4: Simplify right side
    1,009.21x = 790,551.29
  5. Step 5: Solve for x
    x = 790,551.29/1,009.21
  6. Step 6: Final answer
    x = 783.34

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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.