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Finding the Fourth Proportional to 848.70, 1,171.35 and 499.56

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Solution

The fourth proportional to 848.70, 1,171.35 and 499.56 is: 689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.70 : 1,171.35 = 499.56 : x
  2. Step 2: Convert to fraction form
    848.70/1,171.35 = 499.56/x
  3. Step 3: Cross multiply
    848.70x = 1,171.35 × 499.56
  4. Step 4: Simplify right side
    848.70x = 585,159.61
  5. Step 5: Solve for x
    x = 585,159.61/848.70
  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.