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Finding the Fourth Proportional to 954.07, 1,316.63 and 534.43

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Solution

The fourth proportional to 954.07, 1,316.63 and 534.43 is: 737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.07 : 1,316.63 = 534.43 : x
  2. Step 2: Convert to fraction form
    954.07/1,316.63 = 534.43/x
  3. Step 3: Cross multiply
    954.07x = 1,316.63 × 534.43
  4. Step 4: Simplify right side
    954.07x = 703,646.57
  5. Step 5: Solve for x
    x = 703,646.57/954.07
  6. Step 6: Final answer
    x = 737.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.