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Finding the Fourth Proportional to 964.99, 1,446.22 and 526.43

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Solution

The fourth proportional to 964.99, 1,446.22 and 526.43 is: 788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.99 : 1,446.22 = 526.43 : x
  2. Step 2: Convert to fraction form
    964.99/1,446.22 = 526.43/x
  3. Step 3: Cross multiply
    964.99x = 1,446.22 × 526.43
  4. Step 4: Simplify right side
    964.99x = 761,334.91
  5. Step 5: Solve for x
    x = 761,334.91/964.99
  6. Step 6: Final answer
    x = 788.96

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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.