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Finding the Fourth Proportional to 973.38, 1,458.58 and 425.24

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Solution

The fourth proportional to 973.38, 1,458.58 and 425.24 is: 637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.38 : 1,458.58 = 425.24 : x
  2. Step 2: Convert to fraction form
    973.38/1,458.58 = 425.24/x
  3. Step 3: Cross multiply
    973.38x = 1,458.58 × 425.24
  4. Step 4: Simplify right side
    973.38x = 620,246.56
  5. Step 5: Solve for x
    x = 620,246.56/973.38
  6. Step 6: Final answer
    x = 637.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.