Home / 1,056.30-1,457.67-584.19

Finding the Fourth Proportional to 1,056.30, 1,457.67 and 584.19

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Solution

The fourth proportional to 1,056.30, 1,457.67 and 584.19 is: 806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.30 : 1,457.67 = 584.19 : x
  2. Step 2: Convert to fraction form
    1,056.30/1,457.67 = 584.19/x
  3. Step 3: Cross multiply
    1,056.30x = 1,457.67 × 584.19
  4. Step 4: Simplify right side
    1,056.30x = 851,556.24
  5. Step 5: Solve for x
    x = 851,556.24/1,056.30
  6. Step 6: Final answer
    x = 806.17

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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.