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Finding the Fourth Proportional to 1,298.73, 1,946.66 and 518.53

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Solution

The fourth proportional to 1,298.73, 1,946.66 and 518.53 is: 777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.73 : 1,946.66 = 518.53 : x
  2. Step 2: Convert to fraction form
    1,298.73/1,946.66 = 518.53/x
  3. Step 3: Cross multiply
    1,298.73x = 1,946.66 × 518.53
  4. Step 4: Simplify right side
    1,298.73x = 1,009,394.15
  5. Step 5: Solve for x
    x = 1,009,394.15/1,298.73
  6. Step 6: Final answer
    x = 777.22

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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.