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Finding the Fourth Proportional to 751.00, 1,035.86 and 689.03

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Solution

The fourth proportional to 751.00, 1,035.86 and 689.03 is: 950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.00 : 1,035.86 = 689.03 : x
  2. Step 2: Convert to fraction form
    751.00/1,035.86 = 689.03/x
  3. Step 3: Cross multiply
    751.00x = 1,035.86 × 689.03
  4. Step 4: Simplify right side
    751.00x = 713,737.76
  5. Step 5: Solve for x
    x = 713,737.76/751.00
  6. Step 6: Final answer
    x = 950.39

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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.