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Finding the Fourth Proportional to 848.72, 1,171.46 and 494.94

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Solution

The fourth proportional to 848.72, 1,171.46 and 494.94 is: 683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.72 : 1,171.46 = 494.94 : x
  2. Step 2: Convert to fraction form
    848.72/1,171.46 = 494.94/x
  3. Step 3: Cross multiply
    848.72x = 1,171.46 × 494.94
  4. Step 4: Simplify right side
    848.72x = 579,802.41
  5. Step 5: Solve for x
    x = 579,802.41/848.72
  6. Step 6: Final answer
    x = 683.15

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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.