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Finding the Fourth Proportional to 754.88, 1,033.93 and 710.60

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Solution

The fourth proportional to 754.88, 1,033.93 and 710.60 is: 973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.88 : 1,033.93 = 710.60 : x
  2. Step 2: Convert to fraction form
    754.88/1,033.93 = 710.60/x
  3. Step 3: Cross multiply
    754.88x = 1,033.93 × 710.60
  4. Step 4: Simplify right side
    754.88x = 734,710.66
  5. Step 5: Solve for x
    x = 734,710.66/754.88
  6. Step 6: Final answer
    x = 973.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.