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Finding the Fourth Proportional to 1,056.45, 1,457.91 and 584.36

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Solution

The fourth proportional to 1,056.45, 1,457.91 and 584.36 is: 806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.45 : 1,457.91 = 584.36 : x
  2. Step 2: Convert to fraction form
    1,056.45/1,457.91 = 584.36/x
  3. Step 3: Cross multiply
    1,056.45x = 1,457.91 × 584.36
  4. Step 4: Simplify right side
    1,056.45x = 851,937.00
  5. Step 5: Solve for x
    x = 851,937.00/1,056.45
  6. Step 6: Final answer
    x = 806.41

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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.