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Finding the Fourth Proportional to 1,583.89, 2,376.10 and 763.63

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Solution

The fourth proportional to 1,583.89, 2,376.10 and 763.63 is: 1,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.89 : 2,376.10 = 763.63 : x
  2. Step 2: Convert to fraction form
    1,583.89/2,376.10 = 763.63/x
  3. Step 3: Cross multiply
    1,583.89x = 2,376.10 × 763.63
  4. Step 4: Simplify right side
    1,583.89x = 1,814,456.26
  5. Step 5: Solve for x
    x = 1,814,456.26/1,583.89
  6. Step 6: Final answer
    x = 1,145.57

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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.