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Finding the Fourth Proportional to 718.14, 1,077.81 and 285.60

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Solution

The fourth proportional to 718.14, 1,077.81 and 285.60 is: 428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.14 : 1,077.81 = 285.60 : x
  2. Step 2: Convert to fraction form
    718.14/1,077.81 = 285.60/x
  3. Step 3: Cross multiply
    718.14x = 1,077.81 × 285.60
  4. Step 4: Simplify right side
    718.14x = 307,822.54
  5. Step 5: Solve for x
    x = 307,822.54/718.14
  6. Step 6: Final answer
    x = 428.64

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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.