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Finding the Fourth Proportional to 780.92, 1,172.30 and 777.40

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Solution

The fourth proportional to 780.92, 1,172.30 and 777.40 is: 1,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.92 : 1,172.30 = 777.40 : x
  2. Step 2: Convert to fraction form
    780.92/1,172.30 = 777.40/x
  3. Step 3: Cross multiply
    780.92x = 1,172.30 × 777.40
  4. Step 4: Simplify right side
    780.92x = 911,346.02
  5. Step 5: Solve for x
    x = 911,346.02/780.92
  6. Step 6: Final answer
    x = 1,167.02

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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.