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Finding the Fourth Proportional to 758.85, 1,139.75 and 728.93

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Solution

The fourth proportional to 758.85, 1,139.75 and 728.93 is: 1,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.85 : 1,139.75 = 728.93 : x
  2. Step 2: Convert to fraction form
    758.85/1,139.75 = 728.93/x
  3. Step 3: Cross multiply
    758.85x = 1,139.75 × 728.93
  4. Step 4: Simplify right side
    758.85x = 830,794.32
  5. Step 5: Solve for x
    x = 830,794.32/758.85
  6. Step 6: Final answer
    x = 1,094.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.