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Finding the Fourth Proportional to 1,365.53, 2,048.81 and 818.11

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Solution

The fourth proportional to 1,365.53, 2,048.81 and 818.11 is: 1,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.53 : 2,048.81 = 818.11 : x
  2. Step 2: Convert to fraction form
    1,365.53/2,048.81 = 818.11/x
  3. Step 3: Cross multiply
    1,365.53x = 2,048.81 × 818.11
  4. Step 4: Simplify right side
    1,365.53x = 1,676,143.50
  5. Step 5: Solve for x
    x = 1,676,143.50/1,365.53
  6. Step 6: Final answer
    x = 1,227.47

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1.5x scale

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.