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Finding the Fourth Proportional to 1,214.75, 1,822.08 and 393.00

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Solution

The fourth proportional to 1,214.75, 1,822.08 and 393.00 is: 589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.75 : 1,822.08 = 393.00 : x
  2. Step 2: Convert to fraction form
    1,214.75/1,822.08 = 393.00/x
  3. Step 3: Cross multiply
    1,214.75x = 1,822.08 × 393.00
  4. Step 4: Simplify right side
    1,214.75x = 716,066.36
  5. Step 5: Solve for x
    x = 716,066.36/1,214.75
  6. Step 6: Final answer
    x = 589.48

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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.