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Finding the Fourth Proportional to 1,404.01, 2,105.91 and 430.07

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Solution

The fourth proportional to 1,404.01, 2,105.91 and 430.07 is: 645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.01 : 2,105.91 = 430.07 : x
  2. Step 2: Convert to fraction form
    1,404.01/2,105.91 = 430.07/x
  3. Step 3: Cross multiply
    1,404.01x = 2,105.91 × 430.07
  4. Step 4: Simplify right side
    1,404.01x = 905,688.71
  5. Step 5: Solve for x
    x = 905,688.71/1,404.01
  6. Step 6: Final answer
    x = 645.08

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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.