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Finding the Fourth Proportional to 945.90, 1,305.22 and 526.24

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Solution

The fourth proportional to 945.90, 1,305.22 and 526.24 is: 726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.90 : 1,305.22 = 526.24 : x
  2. Step 2: Convert to fraction form
    945.90/1,305.22 = 526.24/x
  3. Step 3: Cross multiply
    945.90x = 1,305.22 × 526.24
  4. Step 4: Simplify right side
    945.90x = 686,858.97
  5. Step 5: Solve for x
    x = 686,858.97/945.90
  6. Step 6: Final answer
    x = 726.14

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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.