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Finding the Fourth Proportional to 780.62, 1,077.26 and 449.06

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Solution

The fourth proportional to 780.62, 1,077.26 and 449.06 is: 619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.62 : 1,077.26 = 449.06 : x
  2. Step 2: Convert to fraction form
    780.62/1,077.26 = 449.06/x
  3. Step 3: Cross multiply
    780.62x = 1,077.26 × 449.06
  4. Step 4: Simplify right side
    780.62x = 483,746.74
  5. Step 5: Solve for x
    x = 483,746.74/780.62
  6. Step 6: Final answer
    x = 619.70

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