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Finding the Fourth Proportional to 702.84, 1,054.40 and 270.12

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Solution

The fourth proportional to 702.84, 1,054.40 and 270.12 is: 405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.84 : 1,054.40 = 270.12 : x
  2. Step 2: Convert to fraction form
    702.84/1,054.40 = 270.12/x
  3. Step 3: Cross multiply
    702.84x = 1,054.40 × 270.12
  4. Step 4: Simplify right side
    702.84x = 284,814.53
  5. Step 5: Solve for x
    x = 284,814.53/702.84
  6. Step 6: Final answer
    x = 405.23

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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.