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Finding the Fourth Proportional to 954.79, 1,433.06 and 492.88

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Solution

The fourth proportional to 954.79, 1,433.06 and 492.88 is: 739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.79 : 1,433.06 = 492.88 : x
  2. Step 2: Convert to fraction form
    954.79/1,433.06 = 492.88/x
  3. Step 3: Cross multiply
    954.79x = 1,433.06 × 492.88
  4. Step 4: Simplify right side
    954.79x = 706,326.61
  5. Step 5: Solve for x
    x = 706,326.61/954.79
  6. Step 6: Final answer
    x = 739.77

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Why These Related Problems?

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