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Finding the Fourth Proportional to 754.66, 1,040.19 and 505.89

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Solution

The fourth proportional to 754.66, 1,040.19 and 505.89 is: 697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.66 : 1,040.19 = 505.89 : x
  2. Step 2: Convert to fraction form
    754.66/1,040.19 = 505.89/x
  3. Step 3: Cross multiply
    754.66x = 1,040.19 × 505.89
  4. Step 4: Simplify right side
    754.66x = 526,219.19
  5. Step 5: Solve for x
    x = 526,219.19/754.66
  6. Step 6: Final answer
    x = 697.29

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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.