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Finding the Fourth Proportional to 973.54, 1,461.21 and 511.63

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Solution

The fourth proportional to 973.54, 1,461.21 and 511.63 is: 767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.54 : 1,461.21 = 511.63 : x
  2. Step 2: Convert to fraction form
    973.54/1,461.21 = 511.63/x
  3. Step 3: Cross multiply
    973.54x = 1,461.21 × 511.63
  4. Step 4: Simplify right side
    973.54x = 747,598.87
  5. Step 5: Solve for x
    x = 747,598.87/973.54
  6. Step 6: Final answer
    x = 767.92

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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.