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Finding the Fourth Proportional to 1,116, 1,673.69 and 465.93

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Solution

The fourth proportional to 1,116, 1,673.69 and 465.93 is: 698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116 : 1,673.69 = 465.93 : x
  2. Step 2: Convert to fraction form
    1,116/1,673.69 = 465.93/x
  3. Step 3: Cross multiply
    1,116x = 1,673.69 × 465.93
  4. Step 4: Simplify right side
    1,116x = 779,820.05
  5. Step 5: Solve for x
    x = 779,820.05/1,116
  6. Step 6: Final answer
    x = 698.76

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Why These Related Problems?

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