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Finding the Fourth Proportional to 1,293.33, 1,784.51 and 761.84

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Solution

The fourth proportional to 1,293.33, 1,784.51 and 761.84 is: 1,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.33 : 1,784.51 = 761.84 : x
  2. Step 2: Convert to fraction form
    1,293.33/1,784.51 = 761.84/x
  3. Step 3: Cross multiply
    1,293.33x = 1,784.51 × 761.84
  4. Step 4: Simplify right side
    1,293.33x = 1,359,507.29
  5. Step 5: Solve for x
    x = 1,359,507.29/1,293.33
  6. Step 6: Final answer
    x = 1,051.17

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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.