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Finding the Fourth Proportional to 1,354.66, 1,869.43 and 765.19

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Solution

The fourth proportional to 1,354.66, 1,869.43 and 765.19 is: 1,055.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.66 : 1,869.43 = 765.19 : x
  2. Step 2: Convert to fraction form
    1,354.66/1,869.43 = 765.19/x
  3. Step 3: Cross multiply
    1,354.66x = 1,869.43 × 765.19
  4. Step 4: Simplify right side
    1,354.66x = 1,430,476.26
  5. Step 5: Solve for x
    x = 1,430,476.26/1,354.66
  6. Step 6: Final answer
    x = 1,055.97

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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.