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Finding the Fourth Proportional to 956.50, 1,316.73 and 858.22

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Solution

The fourth proportional to 956.50, 1,316.73 and 858.22 is: 1,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.50 : 1,316.73 = 858.22 : x
  2. Step 2: Convert to fraction form
    956.50/1,316.73 = 858.22/x
  3. Step 3: Cross multiply
    956.50x = 1,316.73 × 858.22
  4. Step 4: Simplify right side
    956.50x = 1,130,044.02
  5. Step 5: Solve for x
    x = 1,130,044.02/956.50
  6. Step 6: Final answer
    x = 1,181.44

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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.