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Finding the Fourth Proportional to 1,292.71, 1,938.60 and 470.77

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Solution

The fourth proportional to 1,292.71, 1,938.60 and 470.77 is: 705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.71 : 1,938.60 = 470.77 : x
  2. Step 2: Convert to fraction form
    1,292.71/1,938.60 = 470.77/x
  3. Step 3: Cross multiply
    1,292.71x = 1,938.60 × 470.77
  4. Step 4: Simplify right side
    1,292.71x = 912,634.72
  5. Step 5: Solve for x
    x = 912,634.72/1,292.71
  6. Step 6: Final answer
    x = 705.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.