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Finding the Fourth Proportional to 1,070.64, 1,604.92 and 523.12

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Solution

The fourth proportional to 1,070.64, 1,604.92 and 523.12 is: 784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.64 : 1,604.92 = 523.12 : x
  2. Step 2: Convert to fraction form
    1,070.64/1,604.92 = 523.12/x
  3. Step 3: Cross multiply
    1,070.64x = 1,604.92 × 523.12
  4. Step 4: Simplify right side
    1,070.64x = 839,565.75
  5. Step 5: Solve for x
    x = 839,565.75/1,070.64
  6. Step 6: Final answer
    x = 784.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.