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Finding the Fourth Proportional to 1,602.95, 2,402.75 and 679.07

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Solution

The fourth proportional to 1,602.95, 2,402.75 and 679.07 is: 1,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.95 : 2,402.75 = 679.07 : x
  2. Step 2: Convert to fraction form
    1,602.95/2,402.75 = 679.07/x
  3. Step 3: Cross multiply
    1,602.95x = 2,402.75 × 679.07
  4. Step 4: Simplify right side
    1,602.95x = 1,631,620.03
  5. Step 5: Solve for x
    x = 1,631,620.03/1,602.95
  6. Step 6: Final answer
    x = 1,017.89

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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.