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Finding the Fourth Proportional to 973.81, 1,460.72 and 511.30

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Solution

The fourth proportional to 973.81, 1,460.72 and 511.30 is: 766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.81 : 1,460.72 = 511.30 : x
  2. Step 2: Convert to fraction form
    973.81/1,460.72 = 511.30/x
  3. Step 3: Cross multiply
    973.81x = 1,460.72 × 511.30
  4. Step 4: Simplify right side
    973.81x = 746,866.14
  5. Step 5: Solve for x
    x = 746,866.14/973.81
  6. Step 6: Final answer
    x = 766.95

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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.