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Finding the Fourth Proportional to 1,253.12, 1,880.36 and 522.76

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Solution

The fourth proportional to 1,253.12, 1,880.36 and 522.76 is: 784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.12 : 1,880.36 = 522.76 : x
  2. Step 2: Convert to fraction form
    1,253.12/1,880.36 = 522.76/x
  3. Step 3: Cross multiply
    1,253.12x = 1,880.36 × 522.76
  4. Step 4: Simplify right side
    1,253.12x = 982,976.99
  5. Step 5: Solve for x
    x = 982,976.99/1,253.12
  6. Step 6: Final answer
    x = 784.42

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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.