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Finding the Fourth Proportional to 997.90, 1,495.47 and 509.93

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Solution

The fourth proportional to 997.90, 1,495.47 and 509.93 is: 764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.90 : 1,495.47 = 509.93 : x
  2. Step 2: Convert to fraction form
    997.90/1,495.47 = 509.93/x
  3. Step 3: Cross multiply
    997.90x = 1,495.47 × 509.93
  4. Step 4: Simplify right side
    997.90x = 762,585.06
  5. Step 5: Solve for x
    x = 762,585.06/997.90
  6. Step 6: Final answer
    x = 764.19

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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.