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Finding the Fourth Proportional to 1,335.74, 2,004.52 and 470.05

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Solution

The fourth proportional to 1,335.74, 2,004.52 and 470.05 is: 705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.74 : 2,004.52 = 470.05 : x
  2. Step 2: Convert to fraction form
    1,335.74/2,004.52 = 470.05/x
  3. Step 3: Cross multiply
    1,335.74x = 2,004.52 × 470.05
  4. Step 4: Simplify right side
    1,335.74x = 942,212.25
  5. Step 5: Solve for x
    x = 942,212.25/1,335.74
  6. Step 6: Final answer
    x = 705.39

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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.