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Finding the Fourth Proportional to 1,732.19, 2,598.66 and 562.26

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Solution

The fourth proportional to 1,732.19, 2,598.66 and 562.26 is: 843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.19 : 2,598.66 = 562.26 : x
  2. Step 2: Convert to fraction form
    1,732.19/2,598.66 = 562.26/x
  3. Step 3: Cross multiply
    1,732.19x = 2,598.66 × 562.26
  4. Step 4: Simplify right side
    1,732.19x = 1,461,122.57
  5. Step 5: Solve for x
    x = 1,461,122.57/1,732.19
  6. Step 6: Final answer
    x = 843.51

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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.