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Finding the Fourth Proportional to 783.15, 1,174.89 and 314.64

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Solution

The fourth proportional to 783.15, 1,174.89 and 314.64 is: 472.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.15 : 1,174.89 = 314.64 : x
  2. Step 2: Convert to fraction form
    783.15/1,174.89 = 314.64/x
  3. Step 3: Cross multiply
    783.15x = 1,174.89 × 314.64
  4. Step 4: Simplify right side
    783.15x = 369,667.39
  5. Step 5: Solve for x
    x = 369,667.39/783.15
  6. Step 6: Final answer
    x = 472.03

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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.