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Finding the Fourth Proportional to 954.91, 1,317.47 and 535.20

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Solution

The fourth proportional to 954.91, 1,317.47 and 535.20 is: 738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.91 : 1,317.47 = 535.20 : x
  2. Step 2: Convert to fraction form
    954.91/1,317.47 = 535.20/x
  3. Step 3: Cross multiply
    954.91x = 1,317.47 × 535.20
  4. Step 4: Simplify right side
    954.91x = 705,109.94
  5. Step 5: Solve for x
    x = 705,109.94/954.91
  6. Step 6: Final answer
    x = 738.41

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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.