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Finding the Fourth Proportional to 973.04, 1,459.87 and 323.87

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Solution

The fourth proportional to 973.04, 1,459.87 and 323.87 is: 485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.04 : 1,459.87 = 323.87 : x
  2. Step 2: Convert to fraction form
    973.04/1,459.87 = 323.87/x
  3. Step 3: Cross multiply
    973.04x = 1,459.87 × 323.87
  4. Step 4: Simplify right side
    973.04x = 472,799.99
  5. Step 5: Solve for x
    x = 472,799.99/973.04
  6. Step 6: Final answer
    x = 485.90

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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.