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Finding the Fourth Proportional to 929.97, 1,283.41 and 537.12

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Solution

The fourth proportional to 929.97, 1,283.41 and 537.12 is: 741.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.97 : 1,283.41 = 537.12 : x
  2. Step 2: Convert to fraction form
    929.97/1,283.41 = 537.12/x
  3. Step 3: Cross multiply
    929.97x = 1,283.41 × 537.12
  4. Step 4: Simplify right side
    929.97x = 689,345.18
  5. Step 5: Solve for x
    x = 689,345.18/929.97
  6. Step 6: Final answer
    x = 741.26

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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.