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Finding the Fourth Proportional to 1,602.62, 2,402.96 and 780.07

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Solution

The fourth proportional to 1,602.62, 2,402.96 and 780.07 is: 1,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.62 : 2,402.96 = 780.07 : x
  2. Step 2: Convert to fraction form
    1,602.62/2,402.96 = 780.07/x
  3. Step 3: Cross multiply
    1,602.62x = 2,402.96 × 780.07
  4. Step 4: Simplify right side
    1,602.62x = 1,874,477.01
  5. Step 5: Solve for x
    x = 1,874,477.01/1,602.62
  6. Step 6: Final answer
    x = 1,169.63

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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.