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Finding the Fourth Proportional to 783.34, 1,174.35 and 494.14

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Solution

The fourth proportional to 783.34, 1,174.35 and 494.14 is: 740.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.34 : 1,174.35 = 494.14 : x
  2. Step 2: Convert to fraction form
    783.34/1,174.35 = 494.14/x
  3. Step 3: Cross multiply
    783.34x = 1,174.35 × 494.14
  4. Step 4: Simplify right side
    783.34x = 580,293.31
  5. Step 5: Solve for x
    x = 580,293.31/783.34
  6. Step 6: Final answer
    x = 740.79

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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.