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Finding the Fourth Proportional to 973.40, 1,460.12 and 543.30

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Solution

The fourth proportional to 973.40, 1,460.12 and 543.30 is: 814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.40 : 1,460.12 = 543.30 : x
  2. Step 2: Convert to fraction form
    973.40/1,460.12 = 543.30/x
  3. Step 3: Cross multiply
    973.40x = 1,460.12 × 543.30
  4. Step 4: Simplify right side
    973.40x = 793,283.20
  5. Step 5: Solve for x
    x = 793,283.20/973.40
  6. Step 6: Final answer
    x = 814.96

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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.