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Finding the Fourth Proportional to 1,010.67, 1,516.44 and 524.07

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Solution

The fourth proportional to 1,010.67, 1,516.44 and 524.07 is: 786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.67 : 1,516.44 = 524.07 : x
  2. Step 2: Convert to fraction form
    1,010.67/1,516.44 = 524.07/x
  3. Step 3: Cross multiply
    1,010.67x = 1,516.44 × 524.07
  4. Step 4: Simplify right side
    1,010.67x = 794,720.71
  5. Step 5: Solve for x
    x = 794,720.71/1,010.67
  6. Step 6: Final answer
    x = 786.33

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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.