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Finding the Fourth Proportional to 929.94, 1,283.28 and 537.02

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Solution

The fourth proportional to 929.94, 1,283.28 and 537.02 is: 741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.94 : 1,283.28 = 537.02 : x
  2. Step 2: Convert to fraction form
    929.94/1,283.28 = 537.02/x
  3. Step 3: Cross multiply
    929.94x = 1,283.28 × 537.02
  4. Step 4: Simplify right side
    929.94x = 689,147.03
  5. Step 5: Solve for x
    x = 689,147.03/929.94
  6. Step 6: Final answer
    x = 741.07

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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.