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Finding the Fourth Proportional to 859.51, 1,289.14 and 366.12

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Solution

The fourth proportional to 859.51, 1,289.14 and 366.12 is: 549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.51 : 1,289.14 = 366.12 : x
  2. Step 2: Convert to fraction form
    859.51/1,289.14 = 366.12/x
  3. Step 3: Cross multiply
    859.51x = 1,289.14 × 366.12
  4. Step 4: Simplify right side
    859.51x = 471,979.94
  5. Step 5: Solve for x
    x = 471,979.94/859.51
  6. Step 6: Final answer
    x = 549.13

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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.