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Finding the Fourth Proportional to 1,121.22, 1,681.92 and 390.63

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Solution

The fourth proportional to 1,121.22, 1,681.92 and 390.63 is: 585.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.22 : 1,681.92 = 390.63 : x
  2. Step 2: Convert to fraction form
    1,121.22/1,681.92 = 390.63/x
  3. Step 3: Cross multiply
    1,121.22x = 1,681.92 × 390.63
  4. Step 4: Simplify right side
    1,121.22x = 657,008.41
  5. Step 5: Solve for x
    x = 657,008.41/1,121.22
  6. Step 6: Final answer
    x = 585.98

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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.