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Finding the Fourth Proportional to 973.06, 1,342.80 and 553.48

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Solution

The fourth proportional to 973.06, 1,342.80 and 553.48 is: 763.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.06 : 1,342.80 = 553.48 : x
  2. Step 2: Convert to fraction form
    973.06/1,342.80 = 553.48/x
  3. Step 3: Cross multiply
    973.06x = 1,342.80 × 553.48
  4. Step 4: Simplify right side
    973.06x = 743,212.94
  5. Step 5: Solve for x
    x = 743,212.94/973.06
  6. Step 6: Final answer
    x = 763.79

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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.