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Finding the Fourth Proportional to 1,327, 1,988.85 and 840.19

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Solution

The fourth proportional to 1,327, 1,988.85 and 840.19 is: 1,259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327 : 1,988.85 = 840.19 : x
  2. Step 2: Convert to fraction form
    1,327/1,988.85 = 840.19/x
  3. Step 3: Cross multiply
    1,327x = 1,988.85 × 840.19
  4. Step 4: Simplify right side
    1,327x = 1,671,011.88
  5. Step 5: Solve for x
    x = 1,671,011.88/1,327
  6. Step 6: Final answer
    x = 1,259.24

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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.