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Finding the Fourth Proportional to 1,622.23, 2,432.94 and 526.91

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Solution

The fourth proportional to 1,622.23, 2,432.94 and 526.91 is: 790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.23 : 2,432.94 = 526.91 : x
  2. Step 2: Convert to fraction form
    1,622.23/2,432.94 = 526.91/x
  3. Step 3: Cross multiply
    1,622.23x = 2,432.94 × 526.91
  4. Step 4: Simplify right side
    1,622.23x = 1,281,926.27
  5. Step 5: Solve for x
    x = 1,281,926.27/1,622.23
  6. Step 6: Final answer
    x = 790.23

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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.