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Finding the Fourth Proportional to 1,292.94, 1,938.89 and 470.76

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Solution

The fourth proportional to 1,292.94, 1,938.89 and 470.76 is: 705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.94 : 1,938.89 = 470.76 : x
  2. Step 2: Convert to fraction form
    1,292.94/1,938.89 = 470.76/x
  3. Step 3: Cross multiply
    1,292.94x = 1,938.89 × 470.76
  4. Step 4: Simplify right side
    1,292.94x = 912,745.76
  5. Step 5: Solve for x
    x = 912,745.76/1,292.94
  6. Step 6: Final answer
    x = 705.95

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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.