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Finding the Fourth Proportional to 973.57, 1,460.63 and 541.03

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Solution

The fourth proportional to 973.57, 1,460.63 and 541.03 is: 811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.57 : 1,460.63 = 541.03 : x
  2. Step 2: Convert to fraction form
    973.57/1,460.63 = 541.03/x
  3. Step 3: Cross multiply
    973.57x = 1,460.63 × 541.03
  4. Step 4: Simplify right side
    973.57x = 790,244.65
  5. Step 5: Solve for x
    x = 790,244.65/973.57
  6. Step 6: Final answer
    x = 811.70

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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.