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Finding the Fourth Proportional to 974.49, 1,345.37 and 643.47

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Solution

The fourth proportional to 974.49, 1,345.37 and 643.47 is: 888.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.49 : 1,345.37 = 643.47 : x
  2. Step 2: Convert to fraction form
    974.49/1,345.37 = 643.47/x
  3. Step 3: Cross multiply
    974.49x = 1,345.37 × 643.47
  4. Step 4: Simplify right side
    974.49x = 865,705.23
  5. Step 5: Solve for x
    x = 865,705.23/974.49
  6. Step 6: Final answer
    x = 888.37

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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.