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Finding the Fourth Proportional to 954.99, 1,432.76 and 493.02

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Solution

The fourth proportional to 954.99, 1,432.76 and 493.02 is: 739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.99 : 1,432.76 = 493.02 : x
  2. Step 2: Convert to fraction form
    954.99/1,432.76 = 493.02/x
  3. Step 3: Cross multiply
    954.99x = 1,432.76 × 493.02
  4. Step 4: Simplify right side
    954.99x = 706,376.87
  5. Step 5: Solve for x
    x = 706,376.87/954.99
  6. Step 6: Final answer
    x = 739.67

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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.