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Finding the Fourth Proportional to 743.76, 1,114.98 and 256.74

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Solution

The fourth proportional to 743.76, 1,114.98 and 256.74 is: 384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.76 : 1,114.98 = 256.74 : x
  2. Step 2: Convert to fraction form
    743.76/1,114.98 = 256.74/x
  3. Step 3: Cross multiply
    743.76x = 1,114.98 × 256.74
  4. Step 4: Simplify right side
    743.76x = 286,259.97
  5. Step 5: Solve for x
    x = 286,259.97/743.76
  6. Step 6: Final answer
    x = 384.88

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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.