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Finding the Fourth Proportional to 1,214.47, 1,821.40 and 598.06

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Solution

The fourth proportional to 1,214.47, 1,821.40 and 598.06 is: 896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.47 : 1,821.40 = 598.06 : x
  2. Step 2: Convert to fraction form
    1,214.47/1,821.40 = 598.06/x
  3. Step 3: Cross multiply
    1,214.47x = 1,821.40 × 598.06
  4. Step 4: Simplify right side
    1,214.47x = 1,089,306.48
  5. Step 5: Solve for x
    x = 1,089,306.48/1,214.47
  6. Step 6: Final answer
    x = 896.94

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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.