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Finding the Fourth Proportional to 1,476.94, 2,215.42 and 611.24

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Solution

The fourth proportional to 1,476.94, 2,215.42 and 611.24 is: 916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.94 : 2,215.42 = 611.24 : x
  2. Step 2: Convert to fraction form
    1,476.94/2,215.42 = 611.24/x
  3. Step 3: Cross multiply
    1,476.94x = 2,215.42 × 611.24
  4. Step 4: Simplify right side
    1,476.94x = 1,354,153.32
  5. Step 5: Solve for x
    x = 1,354,153.32/1,476.94
  6. Step 6: Final answer
    x = 916.86

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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.