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Finding the Fourth Proportional to 1,222.92, 1,688.10 and 830.12

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Solution

The fourth proportional to 1,222.92, 1,688.10 and 830.12 is: 1,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.92 : 1,688.10 = 830.12 : x
  2. Step 2: Convert to fraction form
    1,222.92/1,688.10 = 830.12/x
  3. Step 3: Cross multiply
    1,222.92x = 1,688.10 × 830.12
  4. Step 4: Simplify right side
    1,222.92x = 1,401,325.57
  5. Step 5: Solve for x
    x = 1,401,325.57/1,222.92
  6. Step 6: Final answer
    x = 1,145.88

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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.