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Finding the Fourth Proportional to 780.69, 1,077.30 and 449.06

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Solution

The fourth proportional to 780.69, 1,077.30 and 449.06 is: 619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.69 : 1,077.30 = 449.06 : x
  2. Step 2: Convert to fraction form
    780.69/1,077.30 = 449.06/x
  3. Step 3: Cross multiply
    780.69x = 1,077.30 × 449.06
  4. Step 4: Simplify right side
    780.69x = 483,772.34
  5. Step 5: Solve for x
    x = 483,772.34/780.69
  6. Step 6: Final answer
    x = 619.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.