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Finding the Fourth Proportional to 1,010.23, 1,515.87 and 497.23

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Solution

The fourth proportional to 1,010.23, 1,515.87 and 497.23 is: 746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.23 : 1,515.87 = 497.23 : x
  2. Step 2: Convert to fraction form
    1,010.23/1,515.87 = 497.23/x
  3. Step 3: Cross multiply
    1,010.23x = 1,515.87 × 497.23
  4. Step 4: Simplify right side
    1,010.23x = 753,736.04
  5. Step 5: Solve for x
    x = 753,736.04/1,010.23
  6. Step 6: Final answer
    x = 746.10

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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.