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Finding the Fourth Proportional to 1,460.65, 2,189.88 and 690.25

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Solution

The fourth proportional to 1,460.65, 2,189.88 and 690.25 is: 1,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.65 : 2,189.88 = 690.25 : x
  2. Step 2: Convert to fraction form
    1,460.65/2,189.88 = 690.25/x
  3. Step 3: Cross multiply
    1,460.65x = 2,189.88 × 690.25
  4. Step 4: Simplify right side
    1,460.65x = 1,511,564.67
  5. Step 5: Solve for x
    x = 1,511,564.67/1,460.65
  6. Step 6: Final answer
    x = 1,034.86

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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.