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Finding the Fourth Proportional to 931.84, 1,286.04 and 582.64

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Solution

The fourth proportional to 931.84, 1,286.04 and 582.64 is: 804.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.84 : 1,286.04 = 582.64 : x
  2. Step 2: Convert to fraction form
    931.84/1,286.04 = 582.64/x
  3. Step 3: Cross multiply
    931.84x = 1,286.04 × 582.64
  4. Step 4: Simplify right side
    931.84x = 749,298.35
  5. Step 5: Solve for x
    x = 749,298.35/931.84
  6. Step 6: Final answer
    x = 804.11

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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.