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Finding the Fourth Proportional to 1,648.07, 2,473.07 and 608.80

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Solution

The fourth proportional to 1,648.07, 2,473.07 and 608.80 is: 913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.07 : 2,473.07 = 608.80 : x
  2. Step 2: Convert to fraction form
    1,648.07/2,473.07 = 608.80/x
  3. Step 3: Cross multiply
    1,648.07x = 2,473.07 × 608.80
  4. Step 4: Simplify right side
    1,648.07x = 1,505,605.02
  5. Step 5: Solve for x
    x = 1,505,605.02/1,648.07
  6. Step 6: Final answer
    x = 913.56

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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.