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Finding the Fourth Proportional to 1,607.76, 2,412.45 and 634.68

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Solution

The fourth proportional to 1,607.76, 2,412.45 and 634.68 is: 952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.76 : 2,412.45 = 634.68 : x
  2. Step 2: Convert to fraction form
    1,607.76/2,412.45 = 634.68/x
  3. Step 3: Cross multiply
    1,607.76x = 2,412.45 × 634.68
  4. Step 4: Simplify right side
    1,607.76x = 1,531,133.77
  5. Step 5: Solve for x
    x = 1,531,133.77/1,607.76
  6. Step 6: Final answer
    x = 952.34

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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.