Home / 1,056.24-1,457.66-584.13

Finding the Fourth Proportional to 1,056.24, 1,457.66 and 584.13

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Solution

The fourth proportional to 1,056.24, 1,457.66 and 584.13 is: 806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.24 : 1,457.66 = 584.13 : x
  2. Step 2: Convert to fraction form
    1,056.24/1,457.66 = 584.13/x
  3. Step 3: Cross multiply
    1,056.24x = 1,457.66 × 584.13
  4. Step 4: Simplify right side
    1,056.24x = 851,469.86
  5. Step 5: Solve for x
    x = 851,469.86/1,056.24
  6. Step 6: Final answer
    x = 806.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.