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Finding the Fourth Proportional to 1,121.60, 1,682.48 and 390.96

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Solution

The fourth proportional to 1,121.60, 1,682.48 and 390.96 is: 586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.60 : 1,682.48 = 390.96 : x
  2. Step 2: Convert to fraction form
    1,121.60/1,682.48 = 390.96/x
  3. Step 3: Cross multiply
    1,121.60x = 1,682.48 × 390.96
  4. Step 4: Simplify right side
    1,121.60x = 657,782.38
  5. Step 5: Solve for x
    x = 657,782.38/1,121.60
  6. Step 6: Final answer
    x = 586.47

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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.