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Finding the Fourth Proportional to 786.64, 1,085.44 and 471.82

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Solution

The fourth proportional to 786.64, 1,085.44 and 471.82 is: 651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.64 : 1,085.44 = 471.82 : x
  2. Step 2: Convert to fraction form
    786.64/1,085.44 = 471.82/x
  3. Step 3: Cross multiply
    786.64x = 1,085.44 × 471.82
  4. Step 4: Simplify right side
    786.64x = 512,132.30
  5. Step 5: Solve for x
    x = 512,132.30/786.64
  6. Step 6: Final answer
    x = 651.04

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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.