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Finding the Fourth Proportional to 931.19, 1,284.48 and 820.94

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Solution

The fourth proportional to 931.19, 1,284.48 and 820.94 is: 1,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.19 : 1,284.48 = 820.94 : x
  2. Step 2: Convert to fraction form
    931.19/1,284.48 = 820.94/x
  3. Step 3: Cross multiply
    931.19x = 1,284.48 × 820.94
  4. Step 4: Simplify right side
    931.19x = 1,054,474.59
  5. Step 5: Solve for x
    x = 1,054,474.59/931.19
  6. Step 6: Final answer
    x = 1,132.40

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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.