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Finding the Fourth Proportional to 1,476.68, 2,037.63 and 847.23

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Solution

The fourth proportional to 1,476.68, 2,037.63 and 847.23 is: 1,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.68 : 2,037.63 = 847.23 : x
  2. Step 2: Convert to fraction form
    1,476.68/2,037.63 = 847.23/x
  3. Step 3: Cross multiply
    1,476.68x = 2,037.63 × 847.23
  4. Step 4: Simplify right side
    1,476.68x = 1,726,351.61
  5. Step 5: Solve for x
    x = 1,726,351.61/1,476.68
  6. Step 6: Final answer
    x = 1,169.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.