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Finding the Fourth Proportional to 780.62, 1,077.88 and 626.06

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Solution

The fourth proportional to 780.62, 1,077.88 and 626.06 is: 864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.62 : 1,077.88 = 626.06 : x
  2. Step 2: Convert to fraction form
    780.62/1,077.88 = 626.06/x
  3. Step 3: Cross multiply
    780.62x = 1,077.88 × 626.06
  4. Step 4: Simplify right side
    780.62x = 674,817.55
  5. Step 5: Solve for x
    x = 674,817.55/780.62
  6. Step 6: Final answer
    x = 864.46

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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.