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Finding the Fourth Proportional to 1,025.71, 1,415.02 and 632.50

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Solution

The fourth proportional to 1,025.71, 1,415.02 and 632.50 is: 872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.71 : 1,415.02 = 632.50 : x
  2. Step 2: Convert to fraction form
    1,025.71/1,415.02 = 632.50/x
  3. Step 3: Cross multiply
    1,025.71x = 1,415.02 × 632.50
  4. Step 4: Simplify right side
    1,025.71x = 895,000.15
  5. Step 5: Solve for x
    x = 895,000.15/1,025.71
  6. Step 6: Final answer
    x = 872.57

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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.