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Finding the Fourth Proportional to 954.34, 1,316.78 and 561.22

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Solution

The fourth proportional to 954.34, 1,316.78 and 561.22 is: 774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.34 : 1,316.78 = 561.22 : x
  2. Step 2: Convert to fraction form
    954.34/1,316.78 = 561.22/x
  3. Step 3: Cross multiply
    954.34x = 1,316.78 × 561.22
  4. Step 4: Simplify right side
    954.34x = 738,996.69
  5. Step 5: Solve for x
    x = 738,996.69/954.34
  6. Step 6: Final answer
    x = 774.36

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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.