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Finding the Fourth Proportional to 848.00, 1,170.23 and 498.71

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Solution

The fourth proportional to 848.00, 1,170.23 and 498.71 is: 688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.00 : 1,170.23 = 498.71 : x
  2. Step 2: Convert to fraction form
    848.00/1,170.23 = 498.71/x
  3. Step 3: Cross multiply
    848.00x = 1,170.23 × 498.71
  4. Step 4: Simplify right side
    848.00x = 583,597.06
  5. Step 5: Solve for x
    x = 583,597.06/848.00
  6. Step 6: Final answer
    x = 688.21

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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.