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Finding the Fourth Proportional to 1,402.78, 2,102.62 and 580.62

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Solution

The fourth proportional to 1,402.78, 2,102.62 and 580.62 is: 870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.78 : 2,102.62 = 580.62 : x
  2. Step 2: Convert to fraction form
    1,402.78/2,102.62 = 580.62/x
  3. Step 3: Cross multiply
    1,402.78x = 2,102.62 × 580.62
  4. Step 4: Simplify right side
    1,402.78x = 1,220,823.22
  5. Step 5: Solve for x
    x = 1,220,823.22/1,402.78
  6. Step 6: Final answer
    x = 870.29

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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.