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Finding the Fourth Proportional to 966.90, 1,450.53 and 504.93

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Solution

The fourth proportional to 966.90, 1,450.53 and 504.93 is: 757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.90 : 1,450.53 = 504.93 : x
  2. Step 2: Convert to fraction form
    966.90/1,450.53 = 504.93/x
  3. Step 3: Cross multiply
    966.90x = 1,450.53 × 504.93
  4. Step 4: Simplify right side
    966.90x = 732,416.11
  5. Step 5: Solve for x
    x = 732,416.11/966.90
  6. Step 6: Final answer
    x = 757.49

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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.