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Finding the Fourth Proportional to 784.16, 1,082.14 and 434.84

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Solution

The fourth proportional to 784.16, 1,082.14 and 434.84 is: 600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.16 : 1,082.14 = 434.84 : x
  2. Step 2: Convert to fraction form
    784.16/1,082.14 = 434.84/x
  3. Step 3: Cross multiply
    784.16x = 1,082.14 × 434.84
  4. Step 4: Simplify right side
    784.16x = 470,557.76
  5. Step 5: Solve for x
    x = 470,557.76/784.16
  6. Step 6: Final answer
    x = 600.08

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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.