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Finding the Fourth Proportional to 1,532.15, 2,297.73 and 654.63

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Solution

The fourth proportional to 1,532.15, 2,297.73 and 654.63 is: 981.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.15 : 2,297.73 = 654.63 : x
  2. Step 2: Convert to fraction form
    1,532.15/2,297.73 = 654.63/x
  3. Step 3: Cross multiply
    1,532.15x = 2,297.73 × 654.63
  4. Step 4: Simplify right side
    1,532.15x = 1,504,162.99
  5. Step 5: Solve for x
    x = 1,504,162.99/1,532.15
  6. Step 6: Final answer
    x = 981.74

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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.