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Finding the Fourth Proportional to 1,095.96, 1,512.29 and 653.77

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Solution

The fourth proportional to 1,095.96, 1,512.29 and 653.77 is: 902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.96 : 1,512.29 = 653.77 : x
  2. Step 2: Convert to fraction form
    1,095.96/1,512.29 = 653.77/x
  3. Step 3: Cross multiply
    1,095.96x = 1,512.29 × 653.77
  4. Step 4: Simplify right side
    1,095.96x = 988,688.20
  5. Step 5: Solve for x
    x = 988,688.20/1,095.96
  6. Step 6: Final answer
    x = 902.12

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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.