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Finding the Fourth Proportional to 790.40, 1,088.50 and 773.44

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Solution

The fourth proportional to 790.40, 1,088.50 and 773.44 is: 1,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.40 : 1,088.50 = 773.44 : x
  2. Step 2: Convert to fraction form
    790.40/1,088.50 = 773.44/x
  3. Step 3: Cross multiply
    790.40x = 1,088.50 × 773.44
  4. Step 4: Simplify right side
    790.40x = 841,889.44
  5. Step 5: Solve for x
    x = 841,889.44/790.40
  6. Step 6: Final answer
    x = 1,065.14

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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.