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Finding the Fourth Proportional to 1,313.49, 1,812.18 and 753.78

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Solution

The fourth proportional to 1,313.49, 1,812.18 and 753.78 is: 1,039.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.49 : 1,812.18 = 753.78 : x
  2. Step 2: Convert to fraction form
    1,313.49/1,812.18 = 753.78/x
  3. Step 3: Cross multiply
    1,313.49x = 1,812.18 × 753.78
  4. Step 4: Simplify right side
    1,313.49x = 1,365,985.04
  5. Step 5: Solve for x
    x = 1,365,985.04/1,313.49
  6. Step 6: Final answer
    x = 1,039.97

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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.