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Finding the Fourth Proportional to 1,321.47, 1,983.65 and 973.73

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Solution

The fourth proportional to 1,321.47, 1,983.65 and 973.73 is: 1,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.47 : 1,983.65 = 973.73 : x
  2. Step 2: Convert to fraction form
    1,321.47/1,983.65 = 973.73/x
  3. Step 3: Cross multiply
    1,321.47x = 1,983.65 × 973.73
  4. Step 4: Simplify right side
    1,321.47x = 1,931,546.91
  5. Step 5: Solve for x
    x = 1,931,546.91/1,321.47
  6. Step 6: Final answer
    x = 1,461.67

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1.5x scale

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.