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Finding the Fourth Proportional to 974.73, 1,345.09 and 555.07

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Solution

The fourth proportional to 974.73, 1,345.09 and 555.07 is: 765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.73 : 1,345.09 = 555.07 : x
  2. Step 2: Convert to fraction form
    974.73/1,345.09 = 555.07/x
  3. Step 3: Cross multiply
    974.73x = 1,345.09 × 555.07
  4. Step 4: Simplify right side
    974.73x = 746,619.11
  5. Step 5: Solve for x
    x = 746,619.11/974.73
  6. Step 6: Final answer
    x = 765.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.