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Finding the Fourth Proportional to 1,213.02, 1,820.07 and 597.42

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Solution

The fourth proportional to 1,213.02, 1,820.07 and 597.42 is: 896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.02 : 1,820.07 = 597.42 : x
  2. Step 2: Convert to fraction form
    1,213.02/1,820.07 = 597.42/x
  3. Step 3: Cross multiply
    1,213.02x = 1,820.07 × 597.42
  4. Step 4: Simplify right side
    1,213.02x = 1,087,346.22
  5. Step 5: Solve for x
    x = 1,087,346.22/1,213.02
  6. Step 6: Final answer
    x = 896.40

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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.