Home / 1,056.23-1,457.57-584.17

Finding the Fourth Proportional to 1,056.23, 1,457.57 and 584.17

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Solution

The fourth proportional to 1,056.23, 1,457.57 and 584.17 is: 806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.23 : 1,457.57 = 584.17 : x
  2. Step 2: Convert to fraction form
    1,056.23/1,457.57 = 584.17/x
  3. Step 3: Cross multiply
    1,056.23x = 1,457.57 × 584.17
  4. Step 4: Simplify right side
    1,056.23x = 851,468.67
  5. Step 5: Solve for x
    x = 851,468.67/1,056.23
  6. Step 6: Final answer
    x = 806.14

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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.