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Finding the Fourth Proportional to 955.53, 1,433.28 and 522.45

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Solution

The fourth proportional to 955.53, 1,433.28 and 522.45 is: 783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.53 : 1,433.28 = 522.45 : x
  2. Step 2: Convert to fraction form
    955.53/1,433.28 = 522.45/x
  3. Step 3: Cross multiply
    955.53x = 1,433.28 × 522.45
  4. Step 4: Simplify right side
    955.53x = 748,817.14
  5. Step 5: Solve for x
    x = 748,817.14/955.53
  6. Step 6: Final answer
    x = 783.67

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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.