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Finding the Fourth Proportional to 954.46, 1,317.24 and 534.91

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Solution

The fourth proportional to 954.46, 1,317.24 and 534.91 is: 738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.46 : 1,317.24 = 534.91 : x
  2. Step 2: Convert to fraction form
    954.46/1,317.24 = 534.91/x
  3. Step 3: Cross multiply
    954.46x = 1,317.24 × 534.91
  4. Step 4: Simplify right side
    954.46x = 704,598.88
  5. Step 5: Solve for x
    x = 704,598.88/954.46
  6. Step 6: Final answer
    x = 738.22

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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.