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Finding the Fourth Proportional to 954.24, 1,430.52 and 492

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Solution

The fourth proportional to 954.24, 1,430.52 and 492 is: 737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.24 : 1,430.52 = 492 : x
  2. Step 2: Convert to fraction form
    954.24/1,430.52 = 492/x
  3. Step 3: Cross multiply
    954.24x = 1,430.52 × 492
  4. Step 4: Simplify right side
    954.24x = 703,815.84
  5. Step 5: Solve for x
    x = 703,815.84/954.24
  6. Step 6: Final answer
    x = 737.57

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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.