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Finding the Fourth Proportional to 953.66, 1,316.12 and 622.98

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Solution

The fourth proportional to 953.66, 1,316.12 and 622.98 is: 859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.66 : 1,316.12 = 622.98 : x
  2. Step 2: Convert to fraction form
    953.66/1,316.12 = 622.98/x
  3. Step 3: Cross multiply
    953.66x = 1,316.12 × 622.98
  4. Step 4: Simplify right side
    953.66x = 819,913.32
  5. Step 5: Solve for x
    x = 819,913.32/953.66
  6. Step 6: Final answer
    x = 859.75

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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.