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Finding the Fourth Proportional to 1,455.78, 2,184.08 and 633.86

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Solution

The fourth proportional to 1,455.78, 2,184.08 and 633.86 is: 950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.78 : 2,184.08 = 633.86 : x
  2. Step 2: Convert to fraction form
    1,455.78/2,184.08 = 633.86/x
  3. Step 3: Cross multiply
    1,455.78x = 2,184.08 × 633.86
  4. Step 4: Simplify right side
    1,455.78x = 1,384,386.86
  5. Step 5: Solve for x
    x = 1,384,386.86/1,455.78
  6. Step 6: Final answer
    x = 950.96

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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.