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Finding the Fourth Proportional to 1,663.84, 2,495.76 and 568.22

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Solution

The fourth proportional to 1,663.84, 2,495.76 and 568.22 is: 852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.84 : 2,495.76 = 568.22 : x
  2. Step 2: Convert to fraction form
    1,663.84/2,495.76 = 568.22/x
  3. Step 3: Cross multiply
    1,663.84x = 2,495.76 × 568.22
  4. Step 4: Simplify right side
    1,663.84x = 1,418,129.33
  5. Step 5: Solve for x
    x = 1,418,129.33/1,663.84
  6. Step 6: Final answer
    x = 852.32

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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.