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Finding the Fourth Proportional to 1,051, 1,447.76 and 982.96

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Solution

The fourth proportional to 1,051, 1,447.76 and 982.96 is: 1,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051 : 1,447.76 = 982.96 : x
  2. Step 2: Convert to fraction form
    1,051/1,447.76 = 982.96/x
  3. Step 3: Cross multiply
    1,051x = 1,447.76 × 982.96
  4. Step 4: Simplify right side
    1,051x = 1,423,090.17
  5. Step 5: Solve for x
    x = 1,423,090.17/1,051
  6. Step 6: Final answer
    x = 1,354.03

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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.