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Finding the Fourth Proportional to 973.94, 1,461.53 and 512.06

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Solution

The fourth proportional to 973.94, 1,461.53 and 512.06 is: 768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.94 : 1,461.53 = 512.06 : x
  2. Step 2: Convert to fraction form
    973.94/1,461.53 = 512.06/x
  3. Step 3: Cross multiply
    973.94x = 1,461.53 × 512.06
  4. Step 4: Simplify right side
    973.94x = 748,382.14
  5. Step 5: Solve for x
    x = 748,382.14/973.94
  6. Step 6: Final answer
    x = 768.41

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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.