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Finding the Fourth Proportional to 1,602.93, 2,403.99 and 628.50

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Solution

The fourth proportional to 1,602.93, 2,403.99 and 628.50 is: 942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.93 : 2,403.99 = 628.50 : x
  2. Step 2: Convert to fraction form
    1,602.93/2,403.99 = 628.50/x
  3. Step 3: Cross multiply
    1,602.93x = 2,403.99 × 628.50
  4. Step 4: Simplify right side
    1,602.93x = 1,510,907.72
  5. Step 5: Solve for x
    x = 1,510,907.72/1,602.93
  6. Step 6: Final answer
    x = 942.59

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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.