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Finding the Fourth Proportional to 1,434.76, 2,150.76 and 460.19

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Solution

The fourth proportional to 1,434.76, 2,150.76 and 460.19 is: 689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.76 : 2,150.76 = 460.19 : x
  2. Step 2: Convert to fraction form
    1,434.76/2,150.76 = 460.19/x
  3. Step 3: Cross multiply
    1,434.76x = 2,150.76 × 460.19
  4. Step 4: Simplify right side
    1,434.76x = 989,763.62
  5. Step 5: Solve for x
    x = 989,763.62/1,434.76
  6. Step 6: Final answer
    x = 689.85

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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.