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Finding the Fourth Proportional to 1,430.45, 2,145.67 and 456.63

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Solution

The fourth proportional to 1,430.45, 2,145.67 and 456.63 is: 684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.45 : 2,145.67 = 456.63 : x
  2. Step 2: Convert to fraction form
    1,430.45/2,145.67 = 456.63/x
  3. Step 3: Cross multiply
    1,430.45x = 2,145.67 × 456.63
  4. Step 4: Simplify right side
    1,430.45x = 979,777.29
  5. Step 5: Solve for x
    x = 979,777.29/1,430.45
  6. Step 6: Final answer
    x = 684.94

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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.