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Finding the Fourth Proportional to 952.18, 1,307.01 and 844.93

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Solution

The fourth proportional to 952.18, 1,307.01 and 844.93 is: 1,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.18 : 1,307.01 = 844.93 : x
  2. Step 2: Convert to fraction form
    952.18/1,307.01 = 844.93/x
  3. Step 3: Cross multiply
    952.18x = 1,307.01 × 844.93
  4. Step 4: Simplify right side
    952.18x = 1,104,321.20
  5. Step 5: Solve for x
    x = 1,104,321.20/952.18
  6. Step 6: Final answer
    x = 1,159.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.