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Finding the Fourth Proportional to 1,597.72, 2,396.58 and 502.09

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Solution

The fourth proportional to 1,597.72, 2,396.58 and 502.09 is: 753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.72 : 2,396.58 = 502.09 : x
  2. Step 2: Convert to fraction form
    1,597.72/2,396.58 = 502.09/x
  3. Step 3: Cross multiply
    1,597.72x = 2,396.58 × 502.09
  4. Step 4: Simplify right side
    1,597.72x = 1,203,298.85
  5. Step 5: Solve for x
    x = 1,203,298.85/1,597.72
  6. Step 6: Final answer
    x = 753.14

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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.