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Finding the Fourth Proportional to 954.08, 1,431.66 and 542.96

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Solution

The fourth proportional to 954.08, 1,431.66 and 542.96 is: 814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.08 : 1,431.66 = 542.96 : x
  2. Step 2: Convert to fraction form
    954.08/1,431.66 = 542.96/x
  3. Step 3: Cross multiply
    954.08x = 1,431.66 × 542.96
  4. Step 4: Simplify right side
    954.08x = 777,334.11
  5. Step 5: Solve for x
    x = 777,334.11/954.08
  6. Step 6: Final answer
    x = 814.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.