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Finding the Fourth Proportional to 1,404.55, 2,106.33 and 430.30

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Solution

The fourth proportional to 1,404.55, 2,106.33 and 430.30 is: 645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.55 : 2,106.33 = 430.30 : x
  2. Step 2: Convert to fraction form
    1,404.55/2,106.33 = 430.30/x
  3. Step 3: Cross multiply
    1,404.55x = 2,106.33 × 430.30
  4. Step 4: Simplify right side
    1,404.55x = 906,353.80
  5. Step 5: Solve for x
    x = 906,353.80/1,404.55
  6. Step 6: Final answer
    x = 645.30

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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.