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Finding the Fourth Proportional to 1,313.40, 1,812.74 and 816.24

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Solution

The fourth proportional to 1,313.40, 1,812.74 and 816.24 is: 1,126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.40 : 1,812.74 = 816.24 : x
  2. Step 2: Convert to fraction form
    1,313.40/1,812.74 = 816.24/x
  3. Step 3: Cross multiply
    1,313.40x = 1,812.74 × 816.24
  4. Step 4: Simplify right side
    1,313.40x = 1,479,630.90
  5. Step 5: Solve for x
    x = 1,479,630.90/1,313.40
  6. Step 6: Final answer
    x = 1,126.57

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1.5x scale

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.