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Finding the Fourth Proportional to 1,336.81, 2,005.52 and 471.13

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Solution

The fourth proportional to 1,336.81, 2,005.52 and 471.13 is: 706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.81 : 2,005.52 = 471.13 : x
  2. Step 2: Convert to fraction form
    1,336.81/2,005.52 = 471.13/x
  3. Step 3: Cross multiply
    1,336.81x = 2,005.52 × 471.13
  4. Step 4: Simplify right side
    1,336.81x = 944,860.64
  5. Step 5: Solve for x
    x = 944,860.64/1,336.81
  6. Step 6: Final answer
    x = 706.80

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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.