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Finding the Fourth Proportional to 973.26, 1,459.87 and 541.32

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Solution

The fourth proportional to 973.26, 1,459.87 and 541.32 is: 811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.26 : 1,459.87 = 541.32 : x
  2. Step 2: Convert to fraction form
    973.26/1,459.87 = 541.32/x
  3. Step 3: Cross multiply
    973.26x = 1,459.87 × 541.32
  4. Step 4: Simplify right side
    973.26x = 790,256.83
  5. Step 5: Solve for x
    x = 790,256.83/973.26
  6. Step 6: Final answer
    x = 811.97

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Why These Related Problems?

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