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Finding the Fourth Proportional to 790.50, 1,090.82 and 511.06

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Solution

The fourth proportional to 790.50, 1,090.82 and 511.06 is: 705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.50 : 1,090.82 = 511.06 : x
  2. Step 2: Convert to fraction form
    790.50/1,090.82 = 511.06/x
  3. Step 3: Cross multiply
    790.50x = 1,090.82 × 511.06
  4. Step 4: Simplify right side
    790.50x = 557,474.47
  5. Step 5: Solve for x
    x = 557,474.47/790.50
  6. Step 6: Final answer
    x = 705.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.