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Finding the Fourth Proportional to 954.99, 1,431.65 and 492.53

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Solution

The fourth proportional to 954.99, 1,431.65 and 492.53 is: 738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.99 : 1,431.65 = 492.53 : x
  2. Step 2: Convert to fraction form
    954.99/1,431.65 = 492.53/x
  3. Step 3: Cross multiply
    954.99x = 1,431.65 × 492.53
  4. Step 4: Simplify right side
    954.99x = 705,120.95
  5. Step 5: Solve for x
    x = 705,120.95/954.99
  6. Step 6: Final answer
    x = 738.35

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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.