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Finding the Fourth Proportional to 1,352.84, 1,866.66 and 828.50

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Solution

The fourth proportional to 1,352.84, 1,866.66 and 828.50 is: 1,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.84 : 1,866.66 = 828.50 : x
  2. Step 2: Convert to fraction form
    1,352.84/1,866.66 = 828.50/x
  3. Step 3: Cross multiply
    1,352.84x = 1,866.66 × 828.50
  4. Step 4: Simplify right side
    1,352.84x = 1,546,527.81
  5. Step 5: Solve for x
    x = 1,546,527.81/1,352.84
  6. Step 6: Final answer
    x = 1,143.17

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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.