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Finding the Fourth Proportional to 1,214.76, 1,822.31 and 393.03

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Solution

The fourth proportional to 1,214.76, 1,822.31 and 393.03 is: 589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.76 : 1,822.31 = 393.03 : x
  2. Step 2: Convert to fraction form
    1,214.76/1,822.31 = 393.03/x
  3. Step 3: Cross multiply
    1,214.76x = 1,822.31 × 393.03
  4. Step 4: Simplify right side
    1,214.76x = 716,222.50
  5. Step 5: Solve for x
    x = 716,222.50/1,214.76
  6. Step 6: Final answer
    x = 589.60

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Why These Related Problems?

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