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Finding the Fourth Proportional to 1,293.08, 1,784.34 and 761.99

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Solution

The fourth proportional to 1,293.08, 1,784.34 and 761.99 is: 1,051.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.08 : 1,784.34 = 761.99 : x
  2. Step 2: Convert to fraction form
    1,293.08/1,784.34 = 761.99/x
  3. Step 3: Cross multiply
    1,293.08x = 1,784.34 × 761.99
  4. Step 4: Simplify right side
    1,293.08x = 1,359,640.31
  5. Step 5: Solve for x
    x = 1,359,640.31/1,293.08
  6. Step 6: Final answer
    x = 1,051.48

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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.