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Finding the Fourth Proportional to 784.31, 1,082.39 and 435

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Solution

The fourth proportional to 784.31, 1,082.39 and 435 is: 600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.31 : 1,082.39 = 435 : x
  2. Step 2: Convert to fraction form
    784.31/1,082.39 = 435/x
  3. Step 3: Cross multiply
    784.31x = 1,082.39 × 435
  4. Step 4: Simplify right side
    784.31x = 470,837.48
  5. Step 5: Solve for x
    x = 470,837.48/784.31
  6. Step 6: Final answer
    x = 600.32

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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.