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Finding the Fourth Proportional to 1,023.81, 1,536.32 and 407.80

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Solution

The fourth proportional to 1,023.81, 1,536.32 and 407.80 is: 611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.81 : 1,536.32 = 407.80 : x
  2. Step 2: Convert to fraction form
    1,023.81/1,536.32 = 407.80/x
  3. Step 3: Cross multiply
    1,023.81x = 1,536.32 × 407.80
  4. Step 4: Simplify right side
    1,023.81x = 626,511.30
  5. Step 5: Solve for x
    x = 626,511.30/1,023.81
  6. Step 6: Final answer
    x = 611.94

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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.