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Finding the Fourth Proportional to 740.70, 1,023.03 and 697.50

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Solution

The fourth proportional to 740.70, 1,023.03 and 697.50 is: 963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.70 : 1,023.03 = 697.50 : x
  2. Step 2: Convert to fraction form
    740.70/1,023.03 = 697.50/x
  3. Step 3: Cross multiply
    740.70x = 1,023.03 × 697.50
  4. Step 4: Simplify right side
    740.70x = 713,563.43
  5. Step 5: Solve for x
    x = 713,563.43/740.70
  6. Step 6: Final answer
    x = 963.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.