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Finding the Fourth Proportional to 702.91, 1,054.67 and 270.37

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Solution

The fourth proportional to 702.91, 1,054.67 and 270.37 is: 405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.91 : 1,054.67 = 270.37 : x
  2. Step 2: Convert to fraction form
    702.91/1,054.67 = 270.37/x
  3. Step 3: Cross multiply
    702.91x = 1,054.67 × 270.37
  4. Step 4: Simplify right side
    702.91x = 285,145.16
  5. Step 5: Solve for x
    x = 285,145.16/702.91
  6. Step 6: Final answer
    x = 405.67

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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.