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Finding the Fourth Proportional to 1,025.96, 1,415.94 and 583.72

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Solution

The fourth proportional to 1,025.96, 1,415.94 and 583.72 is: 805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.96 : 1,415.94 = 583.72 : x
  2. Step 2: Convert to fraction form
    1,025.96/1,415.94 = 583.72/x
  3. Step 3: Cross multiply
    1,025.96x = 1,415.94 × 583.72
  4. Step 4: Simplify right side
    1,025.96x = 826,512.50
  5. Step 5: Solve for x
    x = 826,512.50/1,025.96
  6. Step 6: Final answer
    x = 805.60

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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.