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Finding the Fourth Proportional to 918.51, 1,266.08 and 846.96

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Solution

The fourth proportional to 918.51, 1,266.08 and 846.96 is: 1,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.51 : 1,266.08 = 846.96 : x
  2. Step 2: Convert to fraction form
    918.51/1,266.08 = 846.96/x
  3. Step 3: Cross multiply
    918.51x = 1,266.08 × 846.96
  4. Step 4: Simplify right side
    918.51x = 1,072,314.88
  5. Step 5: Solve for x
    x = 1,072,314.88/918.51
  6. Step 6: Final answer
    x = 1,167.45

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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.