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Finding the Fourth Proportional to 790.19, 1,090.26 and 528.26

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Solution

The fourth proportional to 790.19, 1,090.26 and 528.26 is: 728.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.19 : 1,090.26 = 528.26 : x
  2. Step 2: Convert to fraction form
    790.19/1,090.26 = 528.26/x
  3. Step 3: Cross multiply
    790.19x = 1,090.26 × 528.26
  4. Step 4: Simplify right side
    790.19x = 575,935.30
  5. Step 5: Solve for x
    x = 575,935.30/790.19
  6. Step 6: Final answer
    x = 728.86

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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.