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Finding the Fourth Proportional to 1,587.93, 2,383.42 and 766.78

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Solution

The fourth proportional to 1,587.93, 2,383.42 and 766.78 is: 1,150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.93 : 2,383.42 = 766.78 : x
  2. Step 2: Convert to fraction form
    1,587.93/2,383.42 = 766.78/x
  3. Step 3: Cross multiply
    1,587.93x = 2,383.42 × 766.78
  4. Step 4: Simplify right side
    1,587.93x = 1,827,548.79
  5. Step 5: Solve for x
    x = 1,827,548.79/1,587.93
  6. Step 6: Final answer
    x = 1,150.90

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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.