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Finding the Fourth Proportional to 1,732.51, 2,598.42 and 562.45

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Solution

The fourth proportional to 1,732.51, 2,598.42 and 562.45 is: 843.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.51 : 2,598.42 = 562.45 : x
  2. Step 2: Convert to fraction form
    1,732.51/2,598.42 = 562.45/x
  3. Step 3: Cross multiply
    1,732.51x = 2,598.42 × 562.45
  4. Step 4: Simplify right side
    1,732.51x = 1,461,481.33
  5. Step 5: Solve for x
    x = 1,461,481.33/1,732.51
  6. Step 6: Final answer
    x = 843.56

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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.