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Finding the Fourth Proportional to 1,602.77, 2,402.70 and 628.64

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Solution

The fourth proportional to 1,602.77, 2,402.70 and 628.64 is: 942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.77 : 2,402.70 = 628.64 : x
  2. Step 2: Convert to fraction form
    1,602.77/2,402.70 = 628.64/x
  3. Step 3: Cross multiply
    1,602.77x = 2,402.70 × 628.64
  4. Step 4: Simplify right side
    1,602.77x = 1,510,421.31
  5. Step 5: Solve for x
    x = 1,510,421.31/1,602.77
  6. Step 6: Final answer
    x = 942.38

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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.