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Finding the Fourth Proportional to 931.44, 1,285.40 and 538.56

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Solution

The fourth proportional to 931.44, 1,285.40 and 538.56 is: 743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.44 : 1,285.40 = 538.56 : x
  2. Step 2: Convert to fraction form
    931.44/1,285.40 = 538.56/x
  3. Step 3: Cross multiply
    931.44x = 1,285.40 × 538.56
  4. Step 4: Simplify right side
    931.44x = 692,265.02
  5. Step 5: Solve for x
    x = 692,265.02/931.44
  6. Step 6: Final answer
    x = 743.22

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1.5x scale

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.