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Finding the Fourth Proportional to 974.85, 1,345.23 and 555.25

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Solution

The fourth proportional to 974.85, 1,345.23 and 555.25 is: 766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.85 : 1,345.23 = 555.25 : x
  2. Step 2: Convert to fraction form
    974.85/1,345.23 = 555.25/x
  3. Step 3: Cross multiply
    974.85x = 1,345.23 × 555.25
  4. Step 4: Simplify right side
    974.85x = 746,935.59
  5. Step 5: Solve for x
    x = 746,935.59/974.85
  6. Step 6: Final answer
    x = 766.21

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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.