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Finding the Fourth Proportional to 973.22, 1,343.00 and 553.63

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Solution

The fourth proportional to 973.22, 1,343.00 and 553.63 is: 763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.22 : 1,343.00 = 553.63 : x
  2. Step 2: Convert to fraction form
    973.22/1,343.00 = 553.63/x
  3. Step 3: Cross multiply
    973.22x = 1,343.00 × 553.63
  4. Step 4: Simplify right side
    973.22x = 743,526.08
  5. Step 5: Solve for x
    x = 743,526.08/973.22
  6. Step 6: Final answer
    x = 763.99

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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.