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Finding the Fourth Proportional to 1,025.68, 1,415.56 and 583.72

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Solution

The fourth proportional to 1,025.68, 1,415.56 and 583.72 is: 805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.68 : 1,415.56 = 583.72 : x
  2. Step 2: Convert to fraction form
    1,025.68/1,415.56 = 583.72/x
  3. Step 3: Cross multiply
    1,025.68x = 1,415.56 × 583.72
  4. Step 4: Simplify right side
    1,025.68x = 826,290.68
  5. Step 5: Solve for x
    x = 826,290.68/1,025.68
  6. Step 6: Final answer
    x = 805.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.