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Finding the Fourth Proportional to 1,602.34, 2,402.40 and 628.54

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Solution

The fourth proportional to 1,602.34, 2,402.40 and 628.54 is: 942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.34 : 2,402.40 = 628.54 : x
  2. Step 2: Convert to fraction form
    1,602.34/2,402.40 = 628.54/x
  3. Step 3: Cross multiply
    1,602.34x = 2,402.40 × 628.54
  4. Step 4: Simplify right side
    1,602.34x = 1,510,004.50
  5. Step 5: Solve for x
    x = 1,510,004.50/1,602.34
  6. Step 6: Final answer
    x = 942.37

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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.