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Finding the Fourth Proportional to 1,216.42, 1,823.54 and 446.74

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Solution

The fourth proportional to 1,216.42, 1,823.54 and 446.74 is: 669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.42 : 1,823.54 = 446.74 : x
  2. Step 2: Convert to fraction form
    1,216.42/1,823.54 = 446.74/x
  3. Step 3: Cross multiply
    1,216.42x = 1,823.54 × 446.74
  4. Step 4: Simplify right side
    1,216.42x = 814,639.14
  5. Step 5: Solve for x
    x = 814,639.14/1,216.42
  6. Step 6: Final answer
    x = 669.70

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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.