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Finding the Fourth Proportional to 1,430.05, 2,145.17 and 456.22

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Solution

The fourth proportional to 1,430.05, 2,145.17 and 456.22 is: 684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.05 : 2,145.17 = 456.22 : x
  2. Step 2: Convert to fraction form
    1,430.05/2,145.17 = 456.22/x
  3. Step 3: Cross multiply
    1,430.05x = 2,145.17 × 456.22
  4. Step 4: Simplify right side
    1,430.05x = 978,667.18
  5. Step 5: Solve for x
    x = 978,667.18/1,430.05
  6. Step 6: Final answer
    x = 684.36

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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.