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Finding the Fourth Proportional to 973.39, 1,343.25 and 531.29

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Solution

The fourth proportional to 973.39, 1,343.25 and 531.29 is: 733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.39 : 1,343.25 = 531.29 : x
  2. Step 2: Convert to fraction form
    973.39/1,343.25 = 531.29/x
  3. Step 3: Cross multiply
    973.39x = 1,343.25 × 531.29
  4. Step 4: Simplify right side
    973.39x = 713,655.29
  5. Step 5: Solve for x
    x = 713,655.29/973.39
  6. Step 6: Final answer
    x = 733.16

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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.