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Finding the Fourth Proportional to 1,465.94, 2,199.54 and 772.44

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Solution

The fourth proportional to 1,465.94, 2,199.54 and 772.44 is: 1,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.94 : 2,199.54 = 772.44 : x
  2. Step 2: Convert to fraction form
    1,465.94/2,199.54 = 772.44/x
  3. Step 3: Cross multiply
    1,465.94x = 2,199.54 × 772.44
  4. Step 4: Simplify right side
    1,465.94x = 1,699,012.68
  5. Step 5: Solve for x
    x = 1,699,012.68/1,465.94
  6. Step 6: Final answer
    x = 1,158.99

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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.