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Finding the Fourth Proportional to 912.63, 1,362.87 and 902.87

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Solution

The fourth proportional to 912.63, 1,362.87 and 902.87 is: 1,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.63 : 1,362.87 = 902.87 : x
  2. Step 2: Convert to fraction form
    912.63/1,362.87 = 902.87/x
  3. Step 3: Cross multiply
    912.63x = 1,362.87 × 902.87
  4. Step 4: Simplify right side
    912.63x = 1,230,492.71
  5. Step 5: Solve for x
    x = 1,230,492.71/912.63
  6. Step 6: Final answer
    x = 1,348.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.