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Finding the Fourth Proportional to 1,607.14, 2,411.07 and 511.57

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Solution

The fourth proportional to 1,607.14, 2,411.07 and 511.57 is: 767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.14 : 2,411.07 = 511.57 : x
  2. Step 2: Convert to fraction form
    1,607.14/2,411.07 = 511.57/x
  3. Step 3: Cross multiply
    1,607.14x = 2,411.07 × 511.57
  4. Step 4: Simplify right side
    1,607.14x = 1,233,431.08
  5. Step 5: Solve for x
    x = 1,233,431.08/1,607.14
  6. Step 6: Final answer
    x = 767.47

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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.