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Finding the Fourth Proportional to 1,430.08, 2,144.34 and 455.92

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Solution

The fourth proportional to 1,430.08, 2,144.34 and 455.92 is: 683.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.08 : 2,144.34 = 455.92 : x
  2. Step 2: Convert to fraction form
    1,430.08/2,144.34 = 455.92/x
  3. Step 3: Cross multiply
    1,430.08x = 2,144.34 × 455.92
  4. Step 4: Simplify right side
    1,430.08x = 977,647.49
  5. Step 5: Solve for x
    x = 977,647.49/1,430.08
  6. Step 6: Final answer
    x = 683.63

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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.