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Finding the Fourth Proportional to 1,056.93, 1,583.83 and 509.37

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Solution

The fourth proportional to 1,056.93, 1,583.83 and 509.37 is: 763.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.93 : 1,583.83 = 509.37 : x
  2. Step 2: Convert to fraction form
    1,056.93/1,583.83 = 509.37/x
  3. Step 3: Cross multiply
    1,056.93x = 1,583.83 × 509.37
  4. Step 4: Simplify right side
    1,056.93x = 806,755.49
  5. Step 5: Solve for x
    x = 806,755.49/1,056.93
  6. Step 6: Final answer
    x = 763.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.