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Finding the Fourth Proportional to 1,663.40, 2,495.40 and 567.56

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Solution

The fourth proportional to 1,663.40, 2,495.40 and 567.56 is: 851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.40 : 2,495.40 = 567.56 : x
  2. Step 2: Convert to fraction form
    1,663.40/2,495.40 = 567.56/x
  3. Step 3: Cross multiply
    1,663.40x = 2,495.40 × 567.56
  4. Step 4: Simplify right side
    1,663.40x = 1,416,289.22
  5. Step 5: Solve for x
    x = 1,416,289.22/1,663.40
  6. Step 6: Final answer
    x = 851.44

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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.