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Finding the Fourth Proportional to 785.64, 1,084.06 and 470.82

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Solution

The fourth proportional to 785.64, 1,084.06 and 470.82 is: 649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.64 : 1,084.06 = 470.82 : x
  2. Step 2: Convert to fraction form
    785.64/1,084.06 = 470.82/x
  3. Step 3: Cross multiply
    785.64x = 1,084.06 × 470.82
  4. Step 4: Simplify right side
    785.64x = 510,398.66
  5. Step 5: Solve for x
    x = 510,398.66/785.64
  6. Step 6: Final answer
    x = 649.66

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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.