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Finding the Fourth Proportional to 1,598.22, 2,397.54 and 502.21

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Solution

The fourth proportional to 1,598.22, 2,397.54 and 502.21 is: 753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.22 : 2,397.54 = 502.21 : x
  2. Step 2: Convert to fraction form
    1,598.22/2,397.54 = 502.21/x
  3. Step 3: Cross multiply
    1,598.22x = 2,397.54 × 502.21
  4. Step 4: Simplify right side
    1,598.22x = 1,204,068.56
  5. Step 5: Solve for x
    x = 1,204,068.56/1,598.22
  6. Step 6: Final answer
    x = 753.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.