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Finding the Fourth Proportional to 739.56, 1,020.70 and 477.53

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Solution

The fourth proportional to 739.56, 1,020.70 and 477.53 is: 659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.56 : 1,020.70 = 477.53 : x
  2. Step 2: Convert to fraction form
    739.56/1,020.70 = 477.53/x
  3. Step 3: Cross multiply
    739.56x = 1,020.70 × 477.53
  4. Step 4: Simplify right side
    739.56x = 487,411.13
  5. Step 5: Solve for x
    x = 487,411.13/739.56
  6. Step 6: Final answer
    x = 659.05

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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.