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Finding the Fourth Proportional to 1,460.66, 2,190.99 and 434.66

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Solution

The fourth proportional to 1,460.66, 2,190.99 and 434.66 is: 651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.66 : 2,190.99 = 434.66 : x
  2. Step 2: Convert to fraction form
    1,460.66/2,190.99 = 434.66/x
  3. Step 3: Cross multiply
    1,460.66x = 2,190.99 × 434.66
  4. Step 4: Simplify right side
    1,460.66x = 952,325.32
  5. Step 5: Solve for x
    x = 952,325.32/1,460.66
  6. Step 6: Final answer
    x = 651.98

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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.