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Finding the Fourth Proportional to 1,115.35, 1,539.18 and 643.34

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Solution

The fourth proportional to 1,115.35, 1,539.18 and 643.34 is: 887.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.35 : 1,539.18 = 643.34 : x
  2. Step 2: Convert to fraction form
    1,115.35/1,539.18 = 643.34/x
  3. Step 3: Cross multiply
    1,115.35x = 1,539.18 × 643.34
  4. Step 4: Simplify right side
    1,115.35x = 990,219.91
  5. Step 5: Solve for x
    x = 990,219.91/1,115.35
  6. Step 6: Final answer
    x = 887.81

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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.