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Finding the Fourth Proportional to 1,010.50, 1,514.13 and 522.94

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Solution

The fourth proportional to 1,010.50, 1,514.13 and 522.94 is: 783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.50 : 1,514.13 = 522.94 : x
  2. Step 2: Convert to fraction form
    1,010.50/1,514.13 = 522.94/x
  3. Step 3: Cross multiply
    1,010.50x = 1,514.13 × 522.94
  4. Step 4: Simplify right side
    1,010.50x = 791,799.14
  5. Step 5: Solve for x
    x = 791,799.14/1,010.50
  6. Step 6: Final answer
    x = 783.57

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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.