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Finding the Fourth Proportional to 739.23, 1,020.08 and 407.58

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Solution

The fourth proportional to 739.23, 1,020.08 and 407.58 is: 562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.23 : 1,020.08 = 407.58 : x
  2. Step 2: Convert to fraction form
    739.23/1,020.08 = 407.58/x
  3. Step 3: Cross multiply
    739.23x = 1,020.08 × 407.58
  4. Step 4: Simplify right side
    739.23x = 415,762.17
  5. Step 5: Solve for x
    x = 415,762.17/739.23
  6. Step 6: Final answer
    x = 562.43

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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.