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Finding the Fourth Proportional to 780.30, 1,164.38 and 774.90

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Solution

The fourth proportional to 780.30, 1,164.38 and 774.90 is: 1,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.30 : 1,164.38 = 774.90 : x
  2. Step 2: Convert to fraction form
    780.30/1,164.38 = 774.90/x
  3. Step 3: Cross multiply
    780.30x = 1,164.38 × 774.90
  4. Step 4: Simplify right side
    780.30x = 902,274.19
  5. Step 5: Solve for x
    x = 902,274.19/780.30
  6. Step 6: Final answer
    x = 1,156.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.