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Finding the Fourth Proportional to 1,025.80, 1,415.29 and 583.71

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Solution

The fourth proportional to 1,025.80, 1,415.29 and 583.71 is: 805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.80 : 1,415.29 = 583.71 : x
  2. Step 2: Convert to fraction form
    1,025.80/1,415.29 = 583.71/x
  3. Step 3: Cross multiply
    1,025.80x = 1,415.29 × 583.71
  4. Step 4: Simplify right side
    1,025.80x = 826,118.93
  5. Step 5: Solve for x
    x = 826,118.93/1,025.80
  6. Step 6: Final answer
    x = 805.34

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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.