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Finding the Fourth Proportional to 1,187.56, 1,638.55 and 715.33

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Solution

The fourth proportional to 1,187.56, 1,638.55 and 715.33 is: 986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.56 : 1,638.55 = 715.33 : x
  2. Step 2: Convert to fraction form
    1,187.56/1,638.55 = 715.33/x
  3. Step 3: Cross multiply
    1,187.56x = 1,638.55 × 715.33
  4. Step 4: Simplify right side
    1,187.56x = 1,172,100.77
  5. Step 5: Solve for x
    x = 1,172,100.77/1,187.56
  6. Step 6: Final answer
    x = 986.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.