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Finding the Fourth Proportional to 1,010.13, 1,515.73 and 497.13

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Solution

The fourth proportional to 1,010.13, 1,515.73 and 497.13 is: 745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.13 : 1,515.73 = 497.13 : x
  2. Step 2: Convert to fraction form
    1,010.13/1,515.73 = 497.13/x
  3. Step 3: Cross multiply
    1,010.13x = 1,515.73 × 497.13
  4. Step 4: Simplify right side
    1,010.13x = 753,514.85
  5. Step 5: Solve for x
    x = 753,514.85/1,010.13
  6. Step 6: Final answer
    x = 745.96

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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.