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Finding the Fourth Proportional to 1,183.01, 1,631.84 and 784.70

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Solution

The fourth proportional to 1,183.01, 1,631.84 and 784.70 is: 1,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.01 : 1,631.84 = 784.70 : x
  2. Step 2: Convert to fraction form
    1,183.01/1,631.84 = 784.70/x
  3. Step 3: Cross multiply
    1,183.01x = 1,631.84 × 784.70
  4. Step 4: Simplify right side
    1,183.01x = 1,280,492.77
  5. Step 5: Solve for x
    x = 1,280,492.77/1,183.01
  6. Step 6: Final answer
    x = 1,082.40

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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.