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Finding the Fourth Proportional to 931.49, 1,285.56 and 538.50

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Solution

The fourth proportional to 931.49, 1,285.56 and 538.50 is: 743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.49 : 1,285.56 = 538.50 : x
  2. Step 2: Convert to fraction form
    931.49/1,285.56 = 538.50/x
  3. Step 3: Cross multiply
    931.49x = 1,285.56 × 538.50
  4. Step 4: Simplify right side
    931.49x = 692,274.06
  5. Step 5: Solve for x
    x = 692,274.06/931.49
  6. Step 6: Final answer
    x = 743.19

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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.