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Finding the Fourth Proportional to 743.77, 1,115.64 and 256.81

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Solution

The fourth proportional to 743.77, 1,115.64 and 256.81 is: 385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.77 : 1,115.64 = 256.81 : x
  2. Step 2: Convert to fraction form
    743.77/1,115.64 = 256.81/x
  3. Step 3: Cross multiply
    743.77x = 1,115.64 × 256.81
  4. Step 4: Simplify right side
    743.77x = 286,507.51
  5. Step 5: Solve for x
    x = 286,507.51/743.77
  6. Step 6: Final answer
    x = 385.21

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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.