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Finding the Fourth Proportional to 865.77, 1,298.39 and 345.63

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Solution

The fourth proportional to 865.77, 1,298.39 and 345.63 is: 518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.77 : 1,298.39 = 345.63 : x
  2. Step 2: Convert to fraction form
    865.77/1,298.39 = 345.63/x
  3. Step 3: Cross multiply
    865.77x = 1,298.39 × 345.63
  4. Step 4: Simplify right side
    865.77x = 448,760.81
  5. Step 5: Solve for x
    x = 448,760.81/865.77
  6. Step 6: Final answer
    x = 518.34

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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.