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Finding the Fourth Proportional to 973.72, 1,343.19 and 619.03

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Solution

The fourth proportional to 973.72, 1,343.19 and 619.03 is: 853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.72 : 1,343.19 = 619.03 : x
  2. Step 2: Convert to fraction form
    973.72/1,343.19 = 619.03/x
  3. Step 3: Cross multiply
    973.72x = 1,343.19 × 619.03
  4. Step 4: Simplify right side
    973.72x = 831,474.91
  5. Step 5: Solve for x
    x = 831,474.91/973.72
  6. Step 6: Final answer
    x = 853.92

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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.