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Finding the Fourth Proportional to 931.59, 1,285.61 and 538.74

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Solution

The fourth proportional to 931.59, 1,285.61 and 538.74 is: 743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.59 : 1,285.61 = 538.74 : x
  2. Step 2: Convert to fraction form
    931.59/1,285.61 = 538.74/x
  3. Step 3: Cross multiply
    931.59x = 1,285.61 × 538.74
  4. Step 4: Simplify right side
    931.59x = 692,606.84
  5. Step 5: Solve for x
    x = 692,606.84/931.59
  6. Step 6: Final answer
    x = 743.47

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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.