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Finding the Fourth Proportional to 971.34, 1,459.82 and 807.82

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Solution

The fourth proportional to 971.34, 1,459.82 and 807.82 is: 1,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.34 : 1,459.82 = 807.82 : x
  2. Step 2: Convert to fraction form
    971.34/1,459.82 = 807.82/x
  3. Step 3: Cross multiply
    971.34x = 1,459.82 × 807.82
  4. Step 4: Simplify right side
    971.34x = 1,179,278.37
  5. Step 5: Solve for x
    x = 1,179,278.37/971.34
  6. Step 6: Final answer
    x = 1,214.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.