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Finding the Fourth Proportional to 1,460.64, 2,190.18 and 486.39

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Solution

The fourth proportional to 1,460.64, 2,190.18 and 486.39 is: 729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.64 : 2,190.18 = 486.39 : x
  2. Step 2: Convert to fraction form
    1,460.64/2,190.18 = 486.39/x
  3. Step 3: Cross multiply
    1,460.64x = 2,190.18 × 486.39
  4. Step 4: Simplify right side
    1,460.64x = 1,065,281.65
  5. Step 5: Solve for x
    x = 1,065,281.65/1,460.64
  6. Step 6: Final answer
    x = 729.33

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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.