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Finding the Fourth Proportional to 1,460.09, 2,188.84 and 535.43

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Solution

The fourth proportional to 1,460.09, 2,188.84 and 535.43 is: 802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.09 : 2,188.84 = 535.43 : x
  2. Step 2: Convert to fraction form
    1,460.09/2,188.84 = 535.43/x
  3. Step 3: Cross multiply
    1,460.09x = 2,188.84 × 535.43
  4. Step 4: Simplify right side
    1,460.09x = 1,171,976.80
  5. Step 5: Solve for x
    x = 1,171,976.80/1,460.09
  6. Step 6: Final answer
    x = 802.67

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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.