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Finding the Fourth Proportional to 784.70, 1,082.99 and 474.38

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Solution

The fourth proportional to 784.70, 1,082.99 and 474.38 is: 654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.70 : 1,082.99 = 474.38 : x
  2. Step 2: Convert to fraction form
    784.70/1,082.99 = 474.38/x
  3. Step 3: Cross multiply
    784.70x = 1,082.99 × 474.38
  4. Step 4: Simplify right side
    784.70x = 513,741.01
  5. Step 5: Solve for x
    x = 513,741.01/784.70
  6. Step 6: Final answer
    x = 654.70

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Double scale
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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.