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Finding the Fourth Proportional to 953.40, 1,313.10 and 828.12

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Solution

The fourth proportional to 953.40, 1,313.10 and 828.12 is: 1,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.40 : 1,313.10 = 828.12 : x
  2. Step 2: Convert to fraction form
    953.40/1,313.10 = 828.12/x
  3. Step 3: Cross multiply
    953.40x = 1,313.10 × 828.12
  4. Step 4: Simplify right side
    953.40x = 1,087,404.37
  5. Step 5: Solve for x
    x = 1,087,404.37/953.40
  6. Step 6: Final answer
    x = 1,140.55

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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.