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Finding the Fourth Proportional to 971.67, 1,455.13 and 509.84

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Solution

The fourth proportional to 971.67, 1,455.13 and 509.84 is: 763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.67 : 1,455.13 = 509.84 : x
  2. Step 2: Convert to fraction form
    971.67/1,455.13 = 509.84/x
  3. Step 3: Cross multiply
    971.67x = 1,455.13 × 509.84
  4. Step 4: Simplify right side
    971.67x = 741,883.48
  5. Step 5: Solve for x
    x = 741,883.48/971.67
  6. Step 6: Final answer
    x = 763.51

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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.