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Finding the Fourth Proportional to 1,141.02, 1,718.21 and 818.64

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Solution

The fourth proportional to 1,141.02, 1,718.21 and 818.64 is: 1,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.02 : 1,718.21 = 818.64 : x
  2. Step 2: Convert to fraction form
    1,141.02/1,718.21 = 818.64/x
  3. Step 3: Cross multiply
    1,141.02x = 1,718.21 × 818.64
  4. Step 4: Simplify right side
    1,141.02x = 1,406,597.48
  5. Step 5: Solve for x
    x = 1,406,597.48/1,141.02
  6. Step 6: Final answer
    x = 1,232.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.