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Finding the Fourth Proportional to 1,732.92, 2,599.55 and 563.06

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Solution

The fourth proportional to 1,732.92, 2,599.55 and 563.06 is: 844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.92 : 2,599.55 = 563.06 : x
  2. Step 2: Convert to fraction form
    1,732.92/2,599.55 = 563.06/x
  3. Step 3: Cross multiply
    1,732.92x = 2,599.55 × 563.06
  4. Step 4: Simplify right side
    1,732.92x = 1,463,686.81
  5. Step 5: Solve for x
    x = 1,463,686.81/1,732.92
  6. Step 6: Final answer
    x = 844.64

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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.