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Finding the Fourth Proportional to 1,010.22, 1,503.84 and 1,004.73

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Solution

The fourth proportional to 1,010.22, 1,503.84 and 1,004.73 is: 1,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.22 : 1,503.84 = 1,004.73 : x
  2. Step 2: Convert to fraction form
    1,010.22/1,503.84 = 1,004.73/x
  3. Step 3: Cross multiply
    1,010.22x = 1,503.84 × 1,004.73
  4. Step 4: Simplify right side
    1,010.22x = 1,510,953.16
  5. Step 5: Solve for x
    x = 1,510,953.16/1,010.22
  6. Step 6: Final answer
    x = 1,495.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.