Home / 1,056.19-1,584.14-325.70

Finding the Fourth Proportional to 1,056.19, 1,584.14 and 325.70

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Solution

The fourth proportional to 1,056.19, 1,584.14 and 325.70 is: 488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.19 : 1,584.14 = 325.70 : x
  2. Step 2: Convert to fraction form
    1,056.19/1,584.14 = 325.70/x
  3. Step 3: Cross multiply
    1,056.19x = 1,584.14 × 325.70
  4. Step 4: Simplify right side
    1,056.19x = 515,954.40
  5. Step 5: Solve for x
    x = 515,954.40/1,056.19
  6. Step 6: Final answer
    x = 488.51

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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.