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Finding the Fourth Proportional to 848.28, 1,170.77 and 498.90

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Solution

The fourth proportional to 848.28, 1,170.77 and 498.90 is: 688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.28 : 1,170.77 = 498.90 : x
  2. Step 2: Convert to fraction form
    848.28/1,170.77 = 498.90/x
  3. Step 3: Cross multiply
    848.28x = 1,170.77 × 498.90
  4. Step 4: Simplify right side
    848.28x = 584,097.15
  5. Step 5: Solve for x
    x = 584,097.15/848.28
  6. Step 6: Final answer
    x = 688.57

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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.