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Finding the Fourth Proportional to 1,301.86, 1,952.16 and 651.82

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Solution

The fourth proportional to 1,301.86, 1,952.16 and 651.82 is: 977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.86 : 1,952.16 = 651.82 : x
  2. Step 2: Convert to fraction form
    1,301.86/1,952.16 = 651.82/x
  3. Step 3: Cross multiply
    1,301.86x = 1,952.16 × 651.82
  4. Step 4: Simplify right side
    1,301.86x = 1,272,456.93
  5. Step 5: Solve for x
    x = 1,272,456.93/1,301.86
  6. Step 6: Final answer
    x = 977.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.