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Finding the Fourth Proportional to 1,108.16, 1,529.40 and 642.56

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Solution

The fourth proportional to 1,108.16, 1,529.40 and 642.56 is: 886.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.16 : 1,529.40 = 642.56 : x
  2. Step 2: Convert to fraction form
    1,108.16/1,529.40 = 642.56/x
  3. Step 3: Cross multiply
    1,108.16x = 1,529.40 × 642.56
  4. Step 4: Simplify right side
    1,108.16x = 982,731.26
  5. Step 5: Solve for x
    x = 982,731.26/1,108.16
  6. Step 6: Final answer
    x = 886.81

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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.