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Finding the Fourth Proportional to 1,602.91, 2,402.34 and 678.25

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Solution

The fourth proportional to 1,602.91, 2,402.34 and 678.25 is: 1,016.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.91 : 2,402.34 = 678.25 : x
  2. Step 2: Convert to fraction form
    1,602.91/2,402.34 = 678.25/x
  3. Step 3: Cross multiply
    1,602.91x = 2,402.34 × 678.25
  4. Step 4: Simplify right side
    1,602.91x = 1,629,387.11
  5. Step 5: Solve for x
    x = 1,629,387.11/1,602.91
  6. Step 6: Final answer
    x = 1,016.52

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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.