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Finding the Fourth Proportional to 1,056.57, 1,457.89 and 584.40

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Solution

The fourth proportional to 1,056.57, 1,457.89 and 584.40 is: 806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.57 : 1,457.89 = 584.40 : x
  2. Step 2: Convert to fraction form
    1,056.57/1,457.89 = 584.40/x
  3. Step 3: Cross multiply
    1,056.57x = 1,457.89 × 584.40
  4. Step 4: Simplify right side
    1,056.57x = 851,990.92
  5. Step 5: Solve for x
    x = 851,990.92/1,056.57
  6. Step 6: Final answer
    x = 806.37

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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.