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Finding the Fourth Proportional to 785.17, 1,083.50 and 470.60

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Solution

The fourth proportional to 785.17, 1,083.50 and 470.60 is: 649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.17 : 1,083.50 = 470.60 : x
  2. Step 2: Convert to fraction form
    785.17/1,083.50 = 470.60/x
  3. Step 3: Cross multiply
    785.17x = 1,083.50 × 470.60
  4. Step 4: Simplify right side
    785.17x = 509,895.10
  5. Step 5: Solve for x
    x = 509,895.10/785.17
  6. Step 6: Final answer
    x = 649.41

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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.