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Finding the Fourth Proportional to 1,622.41, 2,433.96 and 526.69

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Solution

The fourth proportional to 1,622.41, 2,433.96 and 526.69 is: 790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.41 : 2,433.96 = 526.69 : x
  2. Step 2: Convert to fraction form
    1,622.41/2,433.96 = 526.69/x
  3. Step 3: Cross multiply
    1,622.41x = 2,433.96 × 526.69
  4. Step 4: Simplify right side
    1,622.41x = 1,281,942.39
  5. Step 5: Solve for x
    x = 1,281,942.39/1,622.41
  6. Step 6: Final answer
    x = 790.15

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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.