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Finding the Fourth Proportional to 1,222.58, 1,832.45 and 606.68

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Solution

The fourth proportional to 1,222.58, 1,832.45 and 606.68 is: 909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.58 : 1,832.45 = 606.68 : x
  2. Step 2: Convert to fraction form
    1,222.58/1,832.45 = 606.68/x
  3. Step 3: Cross multiply
    1,222.58x = 1,832.45 × 606.68
  4. Step 4: Simplify right side
    1,222.58x = 1,111,710.77
  5. Step 5: Solve for x
    x = 1,111,710.77/1,222.58
  6. Step 6: Final answer
    x = 909.32

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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.