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Finding the Fourth Proportional to 1,476.88, 2,038.45 and 856.24

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Solution

The fourth proportional to 1,476.88, 2,038.45 and 856.24 is: 1,181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.88 : 2,038.45 = 856.24 : x
  2. Step 2: Convert to fraction form
    1,476.88/2,038.45 = 856.24/x
  3. Step 3: Cross multiply
    1,476.88x = 2,038.45 × 856.24
  4. Step 4: Simplify right side
    1,476.88x = 1,745,392.24
  5. Step 5: Solve for x
    x = 1,745,392.24/1,476.88
  6. Step 6: Final answer
    x = 1,181.81

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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.