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Finding the Fourth Proportional to 1,214.85, 1,823.17 and 484.64

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Solution

The fourth proportional to 1,214.85, 1,823.17 and 484.64 is: 727.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.85 : 1,823.17 = 484.64 : x
  2. Step 2: Convert to fraction form
    1,214.85/1,823.17 = 484.64/x
  3. Step 3: Cross multiply
    1,214.85x = 1,823.17 × 484.64
  4. Step 4: Simplify right side
    1,214.85x = 883,574.13
  5. Step 5: Solve for x
    x = 883,574.13/1,214.85
  6. Step 6: Final answer
    x = 727.31

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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.