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Finding the Fourth Proportional to 1,404.45, 2,106.57 and 430.41

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Solution

The fourth proportional to 1,404.45, 2,106.57 and 430.41 is: 645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.45 : 2,106.57 = 430.41 : x
  2. Step 2: Convert to fraction form
    1,404.45/2,106.57 = 430.41/x
  3. Step 3: Cross multiply
    1,404.45x = 2,106.57 × 430.41
  4. Step 4: Simplify right side
    1,404.45x = 906,688.79
  5. Step 5: Solve for x
    x = 906,688.79/1,404.45
  6. Step 6: Final answer
    x = 645.58

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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.