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Finding the Fourth Proportional to 1,732.68, 2,599.17 and 562.22

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Solution

The fourth proportional to 1,732.68, 2,599.17 and 562.22 is: 843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.68 : 2,599.17 = 562.22 : x
  2. Step 2: Convert to fraction form
    1,732.68/2,599.17 = 562.22/x
  3. Step 3: Cross multiply
    1,732.68x = 2,599.17 × 562.22
  4. Step 4: Simplify right side
    1,732.68x = 1,461,305.36
  5. Step 5: Solve for x
    x = 1,461,305.36/1,732.68
  6. Step 6: Final answer
    x = 843.38

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1.5x scale

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.