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Finding the Fourth Proportional to 1,004.04, 1,505.86 and 387.83

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Solution

The fourth proportional to 1,004.04, 1,505.86 and 387.83 is: 581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.04 : 1,505.86 = 387.83 : x
  2. Step 2: Convert to fraction form
    1,004.04/1,505.86 = 387.83/x
  3. Step 3: Cross multiply
    1,004.04x = 1,505.86 × 387.83
  4. Step 4: Simplify right side
    1,004.04x = 584,020.48
  5. Step 5: Solve for x
    x = 584,020.48/1,004.04
  6. Step 6: Final answer
    x = 581.67

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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.