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Finding the Fourth Proportional to 795.46, 1,095.06 and 684.31

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Solution

The fourth proportional to 795.46, 1,095.06 and 684.31 is: 942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.46 : 1,095.06 = 684.31 : x
  2. Step 2: Convert to fraction form
    795.46/1,095.06 = 684.31/x
  3. Step 3: Cross multiply
    795.46x = 1,095.06 × 684.31
  4. Step 4: Simplify right side
    795.46x = 749,360.51
  5. Step 5: Solve for x
    x = 749,360.51/795.46
  6. Step 6: Final answer
    x = 942.05

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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.