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Finding the Fourth Proportional to 1,314, 1,969.65 and 582.84

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Solution

The fourth proportional to 1,314, 1,969.65 and 582.84 is: 873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314 : 1,969.65 = 582.84 : x
  2. Step 2: Convert to fraction form
    1,314/1,969.65 = 582.84/x
  3. Step 3: Cross multiply
    1,314x = 1,969.65 × 582.84
  4. Step 4: Simplify right side
    1,314x = 1,147,990.81
  5. Step 5: Solve for x
    x = 1,147,990.81/1,314
  6. Step 6: Final answer
    x = 873.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.