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Finding the Fourth Proportional to 1,306.55, 1,803.08 and 809.44

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Solution

The fourth proportional to 1,306.55, 1,803.08 and 809.44 is: 1,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.55 : 1,803.08 = 809.44 : x
  2. Step 2: Convert to fraction form
    1,306.55/1,803.08 = 809.44/x
  3. Step 3: Cross multiply
    1,306.55x = 1,803.08 × 809.44
  4. Step 4: Simplify right side
    1,306.55x = 1,459,485.08
  5. Step 5: Solve for x
    x = 1,459,485.08/1,306.55
  6. Step 6: Final answer
    x = 1,117.05

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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.