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Finding the Fourth Proportional to 848.84, 1,171.35 and 499.50

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Solution

The fourth proportional to 848.84, 1,171.35 and 499.50 is: 689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.84 : 1,171.35 = 499.50 : x
  2. Step 2: Convert to fraction form
    848.84/1,171.35 = 499.50/x
  3. Step 3: Cross multiply
    848.84x = 1,171.35 × 499.50
  4. Step 4: Simplify right side
    848.84x = 585,089.33
  5. Step 5: Solve for x
    x = 585,089.33/848.84
  6. Step 6: Final answer
    x = 689.29

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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.