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Finding the Fourth Proportional to 743.61, 1,115.16 and 256.56

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Solution

The fourth proportional to 743.61, 1,115.16 and 256.56 is: 384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.61 : 1,115.16 = 256.56 : x
  2. Step 2: Convert to fraction form
    743.61/1,115.16 = 256.56/x
  3. Step 3: Cross multiply
    743.61x = 1,115.16 × 256.56
  4. Step 4: Simplify right side
    743.61x = 286,105.45
  5. Step 5: Solve for x
    x = 286,105.45/743.61
  6. Step 6: Final answer
    x = 384.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.