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Finding the Fourth Proportional to 1,628.53, 2,442.80 and 458.64

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Solution

The fourth proportional to 1,628.53, 2,442.80 and 458.64 is: 687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.53 : 2,442.80 = 458.64 : x
  2. Step 2: Convert to fraction form
    1,628.53/2,442.80 = 458.64/x
  3. Step 3: Cross multiply
    1,628.53x = 2,442.80 × 458.64
  4. Step 4: Simplify right side
    1,628.53x = 1,120,366.94
  5. Step 5: Solve for x
    x = 1,120,366.94/1,628.53
  6. Step 6: Final answer
    x = 687.96

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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.