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Finding the Fourth Proportional to 848.84, 1,171.44 and 499.40

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Solution

The fourth proportional to 848.84, 1,171.44 and 499.40 is: 689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.84 : 1,171.44 = 499.40 : x
  2. Step 2: Convert to fraction form
    848.84/1,171.44 = 499.40/x
  3. Step 3: Cross multiply
    848.84x = 1,171.44 × 499.40
  4. Step 4: Simplify right side
    848.84x = 585,017.14
  5. Step 5: Solve for x
    x = 585,017.14/848.84
  6. Step 6: Final answer
    x = 689.20

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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.