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Finding the Fourth Proportional to 848.54, 1,170.56 and 499

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Solution

The fourth proportional to 848.54, 1,170.56 and 499 is: 688.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.54 : 1,170.56 = 499 : x
  2. Step 2: Convert to fraction form
    848.54/1,170.56 = 499/x
  3. Step 3: Cross multiply
    848.54x = 1,170.56 × 499
  4. Step 4: Simplify right side
    848.54x = 584,109.44
  5. Step 5: Solve for x
    x = 584,109.44/848.54
  6. Step 6: Final answer
    x = 688.37

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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.