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Finding the Fourth Proportional to 1,010.30, 1,516.20 and 523.10

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Solution

The fourth proportional to 1,010.30, 1,516.20 and 523.10 is: 785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.30 : 1,516.20 = 523.10 : x
  2. Step 2: Convert to fraction form
    1,010.30/1,516.20 = 523.10/x
  3. Step 3: Cross multiply
    1,010.30x = 1,516.20 × 523.10
  4. Step 4: Simplify right side
    1,010.30x = 793,124.22
  5. Step 5: Solve for x
    x = 793,124.22/1,010.30
  6. Step 6: Final answer
    x = 785.04

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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.