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Finding the Fourth Proportional to 945.92, 1,305.23 and 526.23

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Solution

The fourth proportional to 945.92, 1,305.23 and 526.23 is: 726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.92 : 1,305.23 = 526.23 : x
  2. Step 2: Convert to fraction form
    945.92/1,305.23 = 526.23/x
  3. Step 3: Cross multiply
    945.92x = 1,305.23 × 526.23
  4. Step 4: Simplify right side
    945.92x = 686,848.55
  5. Step 5: Solve for x
    x = 686,848.55/945.92
  6. Step 6: Final answer
    x = 726.12

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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.