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Finding the Fourth Proportional to 1,337.70, 2,004.68 and 556.86

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Solution

The fourth proportional to 1,337.70, 2,004.68 and 556.86 is: 834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.70 : 2,004.68 = 556.86 : x
  2. Step 2: Convert to fraction form
    1,337.70/2,004.68 = 556.86/x
  3. Step 3: Cross multiply
    1,337.70x = 2,004.68 × 556.86
  4. Step 4: Simplify right side
    1,337.70x = 1,116,326.10
  5. Step 5: Solve for x
    x = 1,116,326.10/1,337.70
  6. Step 6: Final answer
    x = 834.51

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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.