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Finding the Fourth Proportional to 1,160.08, 1,600.95 and 688.22

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Solution

The fourth proportional to 1,160.08, 1,600.95 and 688.22 is: 949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.08 : 1,600.95 = 688.22 : x
  2. Step 2: Convert to fraction form
    1,160.08/1,600.95 = 688.22/x
  3. Step 3: Cross multiply
    1,160.08x = 1,600.95 × 688.22
  4. Step 4: Simplify right side
    1,160.08x = 1,101,809.92
  5. Step 5: Solve for x
    x = 1,101,809.92/1,160.08
  6. Step 6: Final answer
    x = 949.77

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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.