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Finding the Fourth Proportional to 1,113.63, 1,670.46 and 383.21

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Solution

The fourth proportional to 1,113.63, 1,670.46 and 383.21 is: 574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.63 : 1,670.46 = 383.21 : x
  2. Step 2: Convert to fraction form
    1,113.63/1,670.46 = 383.21/x
  3. Step 3: Cross multiply
    1,113.63x = 1,670.46 × 383.21
  4. Step 4: Simplify right side
    1,113.63x = 640,128.62
  5. Step 5: Solve for x
    x = 640,128.62/1,113.63
  6. Step 6: Final answer
    x = 574.81

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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.