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Finding the Fourth Proportional to 973.25, 1,460.30 and 510.92

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Solution

The fourth proportional to 973.25, 1,460.30 and 510.92 is: 766.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.25 : 1,460.30 = 510.92 : x
  2. Step 2: Convert to fraction form
    973.25/1,460.30 = 510.92/x
  3. Step 3: Cross multiply
    973.25x = 1,460.30 × 510.92
  4. Step 4: Simplify right side
    973.25x = 746,086.62
  5. Step 5: Solve for x
    x = 746,086.62/973.25
  6. Step 6: Final answer
    x = 766.60

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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.