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Finding the Fourth Proportional to 1,188.36, 1,782.51 and 538.34

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Solution

The fourth proportional to 1,188.36, 1,782.51 and 538.34 is: 807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.36 : 1,782.51 = 538.34 : x
  2. Step 2: Convert to fraction form
    1,188.36/1,782.51 = 538.34/x
  3. Step 3: Cross multiply
    1,188.36x = 1,782.51 × 538.34
  4. Step 4: Simplify right side
    1,188.36x = 959,587.52
  5. Step 5: Solve for x
    x = 959,587.52/1,188.36
  6. Step 6: Final answer
    x = 807.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.