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Finding the Fourth Proportional to 784.38, 1,082.51 and 435.14

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Solution

The fourth proportional to 784.38, 1,082.51 and 435.14 is: 600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.38 : 1,082.51 = 435.14 : x
  2. Step 2: Convert to fraction form
    784.38/1,082.51 = 435.14/x
  3. Step 3: Cross multiply
    784.38x = 1,082.51 × 435.14
  4. Step 4: Simplify right side
    784.38x = 471,043.40
  5. Step 5: Solve for x
    x = 471,043.40/784.38
  6. Step 6: Final answer
    x = 600.53

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Half scale
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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.