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Finding the Fourth Proportional to 1,598.10, 2,396.30 and 502.18

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Solution

The fourth proportional to 1,598.10, 2,396.30 and 502.18 is: 753.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.10 : 2,396.30 = 502.18 : x
  2. Step 2: Convert to fraction form
    1,598.10/2,396.30 = 502.18/x
  3. Step 3: Cross multiply
    1,598.10x = 2,396.30 × 502.18
  4. Step 4: Simplify right side
    1,598.10x = 1,203,373.93
  5. Step 5: Solve for x
    x = 1,203,373.93/1,598.10
  6. Step 6: Final answer
    x = 753.00

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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.