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Finding the Fourth Proportional to 848.64, 1,171.56 and 499.44

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Solution

The fourth proportional to 848.64, 1,171.56 and 499.44 is: 689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.64 : 1,171.56 = 499.44 : x
  2. Step 2: Convert to fraction form
    848.64/1,171.56 = 499.44/x
  3. Step 3: Cross multiply
    848.64x = 1,171.56 × 499.44
  4. Step 4: Simplify right side
    848.64x = 585,123.93
  5. Step 5: Solve for x
    x = 585,123.93/848.64
  6. Step 6: Final answer
    x = 689.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.