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Finding the Fourth Proportional to 973.57, 1,342.14 and 600.30

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Solution

The fourth proportional to 973.57, 1,342.14 and 600.30 is: 827.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.57 : 1,342.14 = 600.30 : x
  2. Step 2: Convert to fraction form
    973.57/1,342.14 = 600.30/x
  3. Step 3: Cross multiply
    973.57x = 1,342.14 × 600.30
  4. Step 4: Simplify right side
    973.57x = 805,688.50
  5. Step 5: Solve for x
    x = 805,688.50/973.57
  6. Step 6: Final answer
    x = 827.56

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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.