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Finding the Fourth Proportional to 954.91, 1,317.78 and 535.27

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Solution

The fourth proportional to 954.91, 1,317.78 and 535.27 is: 738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.91 : 1,317.78 = 535.27 : x
  2. Step 2: Convert to fraction form
    954.91/1,317.78 = 535.27/x
  3. Step 3: Cross multiply
    954.91x = 1,317.78 × 535.27
  4. Step 4: Simplify right side
    954.91x = 705,358.84
  5. Step 5: Solve for x
    x = 705,358.84/954.91
  6. Step 6: Final answer
    x = 738.67

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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.