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Finding the Fourth Proportional to 1,607.39, 2,411.45 and 511.82

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Solution

The fourth proportional to 1,607.39, 2,411.45 and 511.82 is: 767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.39 : 2,411.45 = 511.82 : x
  2. Step 2: Convert to fraction form
    1,607.39/2,411.45 = 511.82/x
  3. Step 3: Cross multiply
    1,607.39x = 2,411.45 × 511.82
  4. Step 4: Simplify right side
    1,607.39x = 1,234,228.34
  5. Step 5: Solve for x
    x = 1,234,228.34/1,607.39
  6. Step 6: Final answer
    x = 767.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.