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Finding the Fourth Proportional to 1,622.62, 2,434.20 and 526.76

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Solution

The fourth proportional to 1,622.62, 2,434.20 and 526.76 is: 790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.62 : 2,434.20 = 526.76 : x
  2. Step 2: Convert to fraction form
    1,622.62/2,434.20 = 526.76/x
  3. Step 3: Cross multiply
    1,622.62x = 2,434.20 × 526.76
  4. Step 4: Simplify right side
    1,622.62x = 1,282,239.19
  5. Step 5: Solve for x
    x = 1,282,239.19/1,622.62
  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.