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Finding the Fourth Proportional to 1,160, 1,600.78 and 636.04

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Solution

The fourth proportional to 1,160, 1,600.78 and 636.04 is: 877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160 : 1,600.78 = 636.04 : x
  2. Step 2: Convert to fraction form
    1,160/1,600.78 = 636.04/x
  3. Step 3: Cross multiply
    1,160x = 1,600.78 × 636.04
  4. Step 4: Simplify right side
    1,160x = 1,018,160.11
  5. Step 5: Solve for x
    x = 1,018,160.11/1,160
  6. Step 6: Final answer
    x = 877.72

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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.