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Finding the Fourth Proportional to 853.03, 1,277.16 and 461.63

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Solution

The fourth proportional to 853.03, 1,277.16 and 461.63 is: 691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.03 : 1,277.16 = 461.63 : x
  2. Step 2: Convert to fraction form
    853.03/1,277.16 = 461.63/x
  3. Step 3: Cross multiply
    853.03x = 1,277.16 × 461.63
  4. Step 4: Simplify right side
    853.03x = 589,567.25
  5. Step 5: Solve for x
    x = 589,567.25/853.03
  6. Step 6: Final answer
    x = 691.14

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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.