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Finding the Fourth Proportional to 954.08, 1,316.50 and 534.45

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Solution

The fourth proportional to 954.08, 1,316.50 and 534.45 is: 737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.08 : 1,316.50 = 534.45 : x
  2. Step 2: Convert to fraction form
    954.08/1,316.50 = 534.45/x
  3. Step 3: Cross multiply
    954.08x = 1,316.50 × 534.45
  4. Step 4: Simplify right side
    954.08x = 703,603.43
  5. Step 5: Solve for x
    x = 703,603.43/954.08
  6. Step 6: Final answer
    x = 737.47

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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.