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Finding the Fourth Proportional to 1,470.68, 2,204.46 and 592.94

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Solution

The fourth proportional to 1,470.68, 2,204.46 and 592.94 is: 888.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.68 : 2,204.46 = 592.94 : x
  2. Step 2: Convert to fraction form
    1,470.68/2,204.46 = 592.94/x
  3. Step 3: Cross multiply
    1,470.68x = 2,204.46 × 592.94
  4. Step 4: Simplify right side
    1,470.68x = 1,307,112.51
  5. Step 5: Solve for x
    x = 1,307,112.51/1,470.68
  6. Step 6: Final answer
    x = 888.78

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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.