Home / 1,056.26-1,584.20-1,005.23

Finding the Fourth Proportional to 1,056.26, 1,584.20 and 1,005.23

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Solution

The fourth proportional to 1,056.26, 1,584.20 and 1,005.23 is: 1,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.26 : 1,584.20 = 1,005.23 : x
  2. Step 2: Convert to fraction form
    1,056.26/1,584.20 = 1,005.23/x
  3. Step 3: Cross multiply
    1,056.26x = 1,584.20 × 1,005.23
  4. Step 4: Simplify right side
    1,056.26x = 1,592,472.42
  5. Step 5: Solve for x
    x = 1,592,472.42/1,056.26
  6. Step 6: Final answer
    x = 1,507.66

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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.