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Finding the Fourth Proportional to 785.53, 1,084.02 and 470.95

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Solution

The fourth proportional to 785.53, 1,084.02 and 470.95 is: 649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.53 : 1,084.02 = 470.95 : x
  2. Step 2: Convert to fraction form
    785.53/1,084.02 = 470.95/x
  3. Step 3: Cross multiply
    785.53x = 1,084.02 × 470.95
  4. Step 4: Simplify right side
    785.53x = 510,514.74
  5. Step 5: Solve for x
    x = 510,514.74/785.53
  6. Step 6: Final answer
    x = 649.90

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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.