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Finding the Fourth Proportional to 941.34, 1,298.97 and 521.67

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Solution

The fourth proportional to 941.34, 1,298.97 and 521.67 is: 719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.34 : 1,298.97 = 521.67 : x
  2. Step 2: Convert to fraction form
    941.34/1,298.97 = 521.67/x
  3. Step 3: Cross multiply
    941.34x = 1,298.97 × 521.67
  4. Step 4: Simplify right side
    941.34x = 677,633.68
  5. Step 5: Solve for x
    x = 677,633.68/941.34
  6. Step 6: Final answer
    x = 719.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.