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Finding the Fourth Proportional to 1,607.98, 2,411.93 and 742.29

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Solution

The fourth proportional to 1,607.98, 2,411.93 and 742.29 is: 1,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.98 : 2,411.93 = 742.29 : x
  2. Step 2: Convert to fraction form
    1,607.98/2,411.93 = 742.29/x
  3. Step 3: Cross multiply
    1,607.98x = 2,411.93 × 742.29
  4. Step 4: Simplify right side
    1,607.98x = 1,790,347.81
  5. Step 5: Solve for x
    x = 1,790,347.81/1,607.98
  6. Step 6: Final answer
    x = 1,113.42

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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.