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Finding the Fourth Proportional to 968.45, 1,336.47 and 526.35

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Solution

The fourth proportional to 968.45, 1,336.47 and 526.35 is: 726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.45 : 1,336.47 = 526.35 : x
  2. Step 2: Convert to fraction form
    968.45/1,336.47 = 526.35/x
  3. Step 3: Cross multiply
    968.45x = 1,336.47 × 526.35
  4. Step 4: Simplify right side
    968.45x = 703,454.02
  5. Step 5: Solve for x
    x = 703,454.02/968.45
  6. Step 6: Final answer
    x = 726.37

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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.