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Finding the Fourth Proportional to 1,587.05, 2,380.71 and 491.39

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Solution

The fourth proportional to 1,587.05, 2,380.71 and 491.39 is: 737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.05 : 2,380.71 = 491.39 : x
  2. Step 2: Convert to fraction form
    1,587.05/2,380.71 = 491.39/x
  3. Step 3: Cross multiply
    1,587.05x = 2,380.71 × 491.39
  4. Step 4: Simplify right side
    1,587.05x = 1,169,857.09
  5. Step 5: Solve for x
    x = 1,169,857.09/1,587.05
  6. Step 6: Final answer
    x = 737.13

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