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Finding the Fourth Proportional to 848.95, 1,171.87 and 730.49

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Solution

The fourth proportional to 848.95, 1,171.87 and 730.49 is: 1,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.95 : 1,171.87 = 730.49 : x
  2. Step 2: Convert to fraction form
    848.95/1,171.87 = 730.49/x
  3. Step 3: Cross multiply
    848.95x = 1,171.87 × 730.49
  4. Step 4: Simplify right side
    848.95x = 856,031.63
  5. Step 5: Solve for x
    x = 856,031.63/848.95
  6. Step 6: Final answer
    x = 1,008.34

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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.