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Finding the Fourth Proportional to 739.10, 1,019.84 and 407.48

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Solution

The fourth proportional to 739.10, 1,019.84 and 407.48 is: 562.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.10 : 1,019.84 = 407.48 : x
  2. Step 2: Convert to fraction form
    739.10/1,019.84 = 407.48/x
  3. Step 3: Cross multiply
    739.10x = 1,019.84 × 407.48
  4. Step 4: Simplify right side
    739.10x = 415,564.40
  5. Step 5: Solve for x
    x = 415,564.40/739.10
  6. Step 6: Final answer
    x = 562.26

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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.