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Finding the Fourth Proportional to 1,281.78, 1,924.02 and 632.96

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Solution

The fourth proportional to 1,281.78, 1,924.02 and 632.96 is: 950.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.78 : 1,924.02 = 632.96 : x
  2. Step 2: Convert to fraction form
    1,281.78/1,924.02 = 632.96/x
  3. Step 3: Cross multiply
    1,281.78x = 1,924.02 × 632.96
  4. Step 4: Simplify right side
    1,281.78x = 1,217,827.70
  5. Step 5: Solve for x
    x = 1,217,827.70/1,281.78
  6. Step 6: Final answer
    x = 950.11

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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.