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Finding the Fourth Proportional to 973.67, 1,458.14 and 511.84

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Solution

The fourth proportional to 973.67, 1,458.14 and 511.84 is: 766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.67 : 1,458.14 = 511.84 : x
  2. Step 2: Convert to fraction form
    973.67/1,458.14 = 511.84/x
  3. Step 3: Cross multiply
    973.67x = 1,458.14 × 511.84
  4. Step 4: Simplify right side
    973.67x = 746,328.17
  5. Step 5: Solve for x
    x = 746,328.17/973.67
  6. Step 6: Final answer
    x = 766.51

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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.