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Finding the Fourth Proportional to 966.95, 1,450.53 and 350.84

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Solution

The fourth proportional to 966.95, 1,450.53 and 350.84 is: 526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.95 : 1,450.53 = 350.84 : x
  2. Step 2: Convert to fraction form
    966.95/1,450.53 = 350.84/x
  3. Step 3: Cross multiply
    966.95x = 1,450.53 × 350.84
  4. Step 4: Simplify right side
    966.95x = 508,903.95
  5. Step 5: Solve for x
    x = 508,903.95/966.95
  6. Step 6: Final answer
    x = 526.30

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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.