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Finding the Fourth Proportional to 1,430.01, 2,145.21 and 455.78

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Solution

The fourth proportional to 1,430.01, 2,145.21 and 455.78 is: 683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.01 : 2,145.21 = 455.78 : x
  2. Step 2: Convert to fraction form
    1,430.01/2,145.21 = 455.78/x
  3. Step 3: Cross multiply
    1,430.01x = 2,145.21 × 455.78
  4. Step 4: Simplify right side
    1,430.01x = 977,743.81
  5. Step 5: Solve for x
    x = 977,743.81/1,430.01
  6. Step 6: Final answer
    x = 683.73

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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.