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Finding the Fourth Proportional to 722.36, 1,083.64 and 260.08

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Solution

The fourth proportional to 722.36, 1,083.64 and 260.08 is: 390.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.36 : 1,083.64 = 260.08 : x
  2. Step 2: Convert to fraction form
    722.36/1,083.64 = 260.08/x
  3. Step 3: Cross multiply
    722.36x = 1,083.64 × 260.08
  4. Step 4: Simplify right side
    722.36x = 281,833.09
  5. Step 5: Solve for x
    x = 281,833.09/722.36
  6. Step 6: Final answer
    x = 390.16

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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.