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Finding the Fourth Proportional to 1,135.66, 1,567.24 and 638.34

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Solution

The fourth proportional to 1,135.66, 1,567.24 and 638.34 is: 880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.66 : 1,567.24 = 638.34 : x
  2. Step 2: Convert to fraction form
    1,135.66/1,567.24 = 638.34/x
  3. Step 3: Cross multiply
    1,135.66x = 1,567.24 × 638.34
  4. Step 4: Simplify right side
    1,135.66x = 1,000,431.98
  5. Step 5: Solve for x
    x = 1,000,431.98/1,135.66
  6. Step 6: Final answer
    x = 880.93

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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.