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Finding the Fourth Proportional to 916.26, 1,374.84 and 429.34

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Solution

The fourth proportional to 916.26, 1,374.84 and 429.34 is: 644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.26 : 1,374.84 = 429.34 : x
  2. Step 2: Convert to fraction form
    916.26/1,374.84 = 429.34/x
  3. Step 3: Cross multiply
    916.26x = 1,374.84 × 429.34
  4. Step 4: Simplify right side
    916.26x = 590,273.81
  5. Step 5: Solve for x
    x = 590,273.81/916.26
  6. Step 6: Final answer
    x = 644.22

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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.