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Finding the Fourth Proportional to 1,301.77, 1,952.38 and 608.77

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Solution

The fourth proportional to 1,301.77, 1,952.38 and 608.77 is: 913.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.77 : 1,952.38 = 608.77 : x
  2. Step 2: Convert to fraction form
    1,301.77/1,952.38 = 608.77/x
  3. Step 3: Cross multiply
    1,301.77x = 1,952.38 × 608.77
  4. Step 4: Simplify right side
    1,301.77x = 1,188,550.37
  5. Step 5: Solve for x
    x = 1,188,550.37/1,301.77
  6. Step 6: Final answer
    x = 913.03

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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.