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Finding the Fourth Proportional to 986.57, 1,360.76 and 632.50

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Solution

The fourth proportional to 986.57, 1,360.76 and 632.50 is: 872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.57 : 1,360.76 = 632.50 : x
  2. Step 2: Convert to fraction form
    986.57/1,360.76 = 632.50/x
  3. Step 3: Cross multiply
    986.57x = 1,360.76 × 632.50
  4. Step 4: Simplify right side
    986.57x = 860,680.70
  5. Step 5: Solve for x
    x = 860,680.70/986.57
  6. Step 6: Final answer
    x = 872.40

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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.