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Finding the Fourth Proportional to 735.23, 1,095.69 and 713.00

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Solution

The fourth proportional to 735.23, 1,095.69 and 713.00 is: 1,062.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.23 : 1,095.69 = 713.00 : x
  2. Step 2: Convert to fraction form
    735.23/1,095.69 = 713.00/x
  3. Step 3: Cross multiply
    735.23x = 1,095.69 × 713.00
  4. Step 4: Simplify right side
    735.23x = 781,232.38
  5. Step 5: Solve for x
    x = 781,232.38/735.23
  6. Step 6: Final answer
    x = 1,062.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.