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Finding the Fourth Proportional to 1,215.75, 1,824.17 and 702.75

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Solution

The fourth proportional to 1,215.75, 1,824.17 and 702.75 is: 1,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.75 : 1,824.17 = 702.75 : x
  2. Step 2: Convert to fraction form
    1,215.75/1,824.17 = 702.75/x
  3. Step 3: Cross multiply
    1,215.75x = 1,824.17 × 702.75
  4. Step 4: Simplify right side
    1,215.75x = 1,281,935.47
  5. Step 5: Solve for x
    x = 1,281,935.47/1,215.75
  6. Step 6: Final answer
    x = 1,054.44

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1.5x scale

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.