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Finding the Fourth Proportional to 1,430.69, 2,145.49 and 609.35

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Solution

The fourth proportional to 1,430.69, 2,145.49 and 609.35 is: 913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.69 : 2,145.49 = 609.35 : x
  2. Step 2: Convert to fraction form
    1,430.69/2,145.49 = 609.35/x
  3. Step 3: Cross multiply
    1,430.69x = 2,145.49 × 609.35
  4. Step 4: Simplify right side
    1,430.69x = 1,307,354.33
  5. Step 5: Solve for x
    x = 1,307,354.33/1,430.69
  6. Step 6: Final answer
    x = 913.79

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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.