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Finding the Fourth Proportional to 1,430.44, 2,145.59 and 456.47

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Solution

The fourth proportional to 1,430.44, 2,145.59 and 456.47 is: 684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.44 : 2,145.59 = 456.47 : x
  2. Step 2: Convert to fraction form
    1,430.44/2,145.59 = 456.47/x
  3. Step 3: Cross multiply
    1,430.44x = 2,145.59 × 456.47
  4. Step 4: Simplify right side
    1,430.44x = 979,394.21
  5. Step 5: Solve for x
    x = 979,394.21/1,430.44
  6. Step 6: Final answer
    x = 684.68

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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.