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Finding the Fourth Proportional to 1,335.81, 2,004.02 and 470.13

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Solution

The fourth proportional to 1,335.81, 2,004.02 and 470.13 is: 705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.81 : 2,004.02 = 470.13 : x
  2. Step 2: Convert to fraction form
    1,335.81/2,004.02 = 470.13/x
  3. Step 3: Cross multiply
    1,335.81x = 2,004.02 × 470.13
  4. Step 4: Simplify right side
    1,335.81x = 942,149.92
  5. Step 5: Solve for x
    x = 942,149.92/1,335.81
  6. Step 6: Final answer
    x = 705.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.