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Finding the Fourth Proportional to 1,336.95, 2,006.50 and 567.99

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Solution

The fourth proportional to 1,336.95, 2,006.50 and 567.99 is: 852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.95 : 2,006.50 = 567.99 : x
  2. Step 2: Convert to fraction form
    1,336.95/2,006.50 = 567.99/x
  3. Step 3: Cross multiply
    1,336.95x = 2,006.50 × 567.99
  4. Step 4: Simplify right side
    1,336.95x = 1,139,671.94
  5. Step 5: Solve for x
    x = 1,139,671.94/1,336.95
  6. Step 6: Final answer
    x = 852.44

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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.