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Finding the Fourth Proportional to 973.80, 1,461.15 and 512.10

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Solution

The fourth proportional to 973.80, 1,461.15 and 512.10 is: 768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.80 : 1,461.15 = 512.10 : x
  2. Step 2: Convert to fraction form
    973.80/1,461.15 = 512.10/x
  3. Step 3: Cross multiply
    973.80x = 1,461.15 × 512.10
  4. Step 4: Simplify right side
    973.80x = 748,254.92
  5. Step 5: Solve for x
    x = 748,254.92/973.80
  6. Step 6: Final answer
    x = 768.39

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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.