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Finding the Fourth Proportional to 1,010.63, 1,515.12 and 523.82

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Solution

The fourth proportional to 1,010.63, 1,515.12 and 523.82 is: 785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.63 : 1,515.12 = 523.82 : x
  2. Step 2: Convert to fraction form
    1,010.63/1,515.12 = 523.82/x
  3. Step 3: Cross multiply
    1,010.63x = 1,515.12 × 523.82
  4. Step 4: Simplify right side
    1,010.63x = 793,650.16
  5. Step 5: Solve for x
    x = 793,650.16/1,010.63
  6. Step 6: Final answer
    x = 785.30

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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.