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Finding the Fourth Proportional to 1,142.62, 1,575.91 and 788.47

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Solution

The fourth proportional to 1,142.62, 1,575.91 and 788.47 is: 1,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.62 : 1,575.91 = 788.47 : x
  2. Step 2: Convert to fraction form
    1,142.62/1,575.91 = 788.47/x
  3. Step 3: Cross multiply
    1,142.62x = 1,575.91 × 788.47
  4. Step 4: Simplify right side
    1,142.62x = 1,242,550.37
  5. Step 5: Solve for x
    x = 1,242,550.37/1,142.62
  6. Step 6: Final answer
    x = 1,087.45

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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.