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Finding the Fourth Proportional to 1,109.27, 1,530.95 and 637.31

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Solution

The fourth proportional to 1,109.27, 1,530.95 and 637.31 is: 879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.27 : 1,530.95 = 637.31 : x
  2. Step 2: Convert to fraction form
    1,109.27/1,530.95 = 637.31/x
  3. Step 3: Cross multiply
    1,109.27x = 1,530.95 × 637.31
  4. Step 4: Simplify right side
    1,109.27x = 975,686.56
  5. Step 5: Solve for x
    x = 975,686.56/1,109.27
  6. Step 6: Final answer
    x = 879.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.