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Finding the Fourth Proportional to 1,281.07, 1,921.71 and 501.11

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Solution

The fourth proportional to 1,281.07, 1,921.71 and 501.11 is: 751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.07 : 1,921.71 = 501.11 : x
  2. Step 2: Convert to fraction form
    1,281.07/1,921.71 = 501.11/x
  3. Step 3: Cross multiply
    1,281.07x = 1,921.71 × 501.11
  4. Step 4: Simplify right side
    1,281.07x = 962,992.28
  5. Step 5: Solve for x
    x = 962,992.28/1,281.07
  6. Step 6: Final answer
    x = 751.71

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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.