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Finding the Fourth Proportional to 790.51, 1,090.54 and 506.76

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Solution

The fourth proportional to 790.51, 1,090.54 and 506.76 is: 699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.51 : 1,090.54 = 506.76 : x
  2. Step 2: Convert to fraction form
    790.51/1,090.54 = 506.76/x
  3. Step 3: Cross multiply
    790.51x = 1,090.54 × 506.76
  4. Step 4: Simplify right side
    790.51x = 552,634.06
  5. Step 5: Solve for x
    x = 552,634.06/790.51
  6. Step 6: Final answer
    x = 699.09

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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.