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Finding the Fourth Proportional to 1,214.51, 1,675.94 and 795.69

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Solution

The fourth proportional to 1,214.51, 1,675.94 and 795.69 is: 1,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.51 : 1,675.94 = 795.69 : x
  2. Step 2: Convert to fraction form
    1,214.51/1,675.94 = 795.69/x
  3. Step 3: Cross multiply
    1,214.51x = 1,675.94 × 795.69
  4. Step 4: Simplify right side
    1,214.51x = 1,333,524.72
  5. Step 5: Solve for x
    x = 1,333,524.72/1,214.51
  6. Step 6: Final answer
    x = 1,098.00

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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.