Home / 1,056.29-1,584.50-325.77

Finding the Fourth Proportional to 1,056.29, 1,584.50 and 325.77

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Solution

The fourth proportional to 1,056.29, 1,584.50 and 325.77 is: 488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.29 : 1,584.50 = 325.77 : x
  2. Step 2: Convert to fraction form
    1,056.29/1,584.50 = 325.77/x
  3. Step 3: Cross multiply
    1,056.29x = 1,584.50 × 325.77
  4. Step 4: Simplify right side
    1,056.29x = 516,180.94
  5. Step 5: Solve for x
    x = 516,180.94/1,056.29
  6. Step 6: Final answer
    x = 488.68

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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.