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Finding the Fourth Proportional to 739.16, 1,020.03 and 407.60

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Solution

The fourth proportional to 739.16, 1,020.03 and 407.60 is: 562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.16 : 1,020.03 = 407.60 : x
  2. Step 2: Convert to fraction form
    739.16/1,020.03 = 407.60/x
  3. Step 3: Cross multiply
    739.16x = 1,020.03 × 407.60
  4. Step 4: Simplify right side
    739.16x = 415,768.31
  5. Step 5: Solve for x
    x = 415,768.31/739.16
  6. Step 6: Final answer
    x = 562.49

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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.