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Finding the Fourth Proportional to 973.07, 1,459.88 and 540.53

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Solution

The fourth proportional to 973.07, 1,459.88 and 540.53 is: 810.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.07 : 1,459.88 = 540.53 : x
  2. Step 2: Convert to fraction form
    973.07/1,459.88 = 540.53/x
  3. Step 3: Cross multiply
    973.07x = 1,459.88 × 540.53
  4. Step 4: Simplify right side
    973.07x = 789,108.94
  5. Step 5: Solve for x
    x = 789,108.94/973.07
  6. Step 6: Final answer
    x = 810.95

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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.