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Finding the Fourth Proportional to 945.62, 1,416.58 and 533.51

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Solution

The fourth proportional to 945.62, 1,416.58 and 533.51 is: 799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.62 : 1,416.58 = 533.51 : x
  2. Step 2: Convert to fraction form
    945.62/1,416.58 = 533.51/x
  3. Step 3: Cross multiply
    945.62x = 1,416.58 × 533.51
  4. Step 4: Simplify right side
    945.62x = 755,759.60
  5. Step 5: Solve for x
    x = 755,759.60/945.62
  6. Step 6: Final answer
    x = 799.22

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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.