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Finding the Fourth Proportional to 1,109.35, 1,530.75 and 637.22

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Solution

The fourth proportional to 1,109.35, 1,530.75 and 637.22 is: 879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.35 : 1,530.75 = 637.22 : x
  2. Step 2: Convert to fraction form
    1,109.35/1,530.75 = 637.22/x
  3. Step 3: Cross multiply
    1,109.35x = 1,530.75 × 637.22
  4. Step 4: Simplify right side
    1,109.35x = 975,424.52
  5. Step 5: Solve for x
    x = 975,424.52/1,109.35
  6. Step 6: Final answer
    x = 879.28

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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.