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Finding the Fourth Proportional to 967.86, 1,457.54 and 871.50

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Solution

The fourth proportional to 967.86, 1,457.54 and 871.50 is: 1,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.86 : 1,457.54 = 871.50 : x
  2. Step 2: Convert to fraction form
    967.86/1,457.54 = 871.50/x
  3. Step 3: Cross multiply
    967.86x = 1,457.54 × 871.50
  4. Step 4: Simplify right side
    967.86x = 1,270,245.14
  5. Step 5: Solve for x
    x = 1,270,245.14/967.86
  6. Step 6: Final answer
    x = 1,312.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.