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Finding the Fourth Proportional to 1,460.56, 2,188.89 and 535.25

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Solution

The fourth proportional to 1,460.56, 2,188.89 and 535.25 is: 802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.56 : 2,188.89 = 535.25 : x
  2. Step 2: Convert to fraction form
    1,460.56/2,188.89 = 535.25/x
  3. Step 3: Cross multiply
    1,460.56x = 2,188.89 × 535.25
  4. Step 4: Simplify right side
    1,460.56x = 1,171,603.37
  5. Step 5: Solve for x
    x = 1,171,603.37/1,460.56
  6. Step 6: Final answer
    x = 802.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.