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Finding the Fourth Proportional to 1,607.76, 2,411.64 and 511.83

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Solution

The fourth proportional to 1,607.76, 2,411.64 and 511.83 is: 767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.76 : 2,411.64 = 511.83 : x
  2. Step 2: Convert to fraction form
    1,607.76/2,411.64 = 511.83/x
  3. Step 3: Cross multiply
    1,607.76x = 2,411.64 × 511.83
  4. Step 4: Simplify right side
    1,607.76x = 1,234,349.70
  5. Step 5: Solve for x
    x = 1,234,349.70/1,607.76
  6. Step 6: Final answer
    x = 767.75

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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.