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Finding the Fourth Proportional to 746.94, 1,113.83 and 695.00

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Solution

The fourth proportional to 746.94, 1,113.83 and 695.00 is: 1,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.94 : 1,113.83 = 695.00 : x
  2. Step 2: Convert to fraction form
    746.94/1,113.83 = 695.00/x
  3. Step 3: Cross multiply
    746.94x = 1,113.83 × 695.00
  4. Step 4: Simplify right side
    746.94x = 774,102.81
  5. Step 5: Solve for x
    x = 774,102.81/746.94
  6. Step 6: Final answer
    x = 1,036.37

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Why These Related Problems?

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