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Finding the Fourth Proportional to 954.05, 1,316.61 and 534.43

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Solution

The fourth proportional to 954.05, 1,316.61 and 534.43 is: 737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.05 : 1,316.61 = 534.43 : x
  2. Step 2: Convert to fraction form
    954.05/1,316.61 = 534.43/x
  3. Step 3: Cross multiply
    954.05x = 1,316.61 × 534.43
  4. Step 4: Simplify right side
    954.05x = 703,639.17
  5. Step 5: Solve for x
    x = 703,639.17/954.05
  6. Step 6: Final answer
    x = 737.53

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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.