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Finding the Fourth Proportional to 1,622.61, 2,433.40 and 526.75

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Solution

The fourth proportional to 1,622.61, 2,433.40 and 526.75 is: 789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.61 : 2,433.40 = 526.75 : x
  2. Step 2: Convert to fraction form
    1,622.61/2,433.40 = 526.75/x
  3. Step 3: Cross multiply
    1,622.61x = 2,433.40 × 526.75
  4. Step 4: Simplify right side
    1,622.61x = 1,281,793.45
  5. Step 5: Solve for x
    x = 1,281,793.45/1,622.61
  6. Step 6: Final answer
    x = 789.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.