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Finding the Fourth Proportional to 973.20, 1,343 and 531.06

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Solution

The fourth proportional to 973.20, 1,343 and 531.06 is: 732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.20 : 1,343 = 531.06 : x
  2. Step 2: Convert to fraction form
    973.20/1,343 = 531.06/x
  3. Step 3: Cross multiply
    973.20x = 1,343 × 531.06
  4. Step 4: Simplify right side
    973.20x = 713,213.58
  5. Step 5: Solve for x
    x = 713,213.58/973.20
  6. Step 6: Final answer
    x = 732.85

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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.