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Finding the Fourth Proportional to 1,628.62, 2,442.72 and 533.10

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Solution

The fourth proportional to 1,628.62, 2,442.72 and 533.10 is: 799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.62 : 2,442.72 = 533.10 : x
  2. Step 2: Convert to fraction form
    1,628.62/2,442.72 = 533.10/x
  3. Step 3: Cross multiply
    1,628.62x = 2,442.72 × 533.10
  4. Step 4: Simplify right side
    1,628.62x = 1,302,214.03
  5. Step 5: Solve for x
    x = 1,302,214.03/1,628.62
  6. Step 6: Final answer
    x = 799.58

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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.