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Finding the Fourth Proportional to 1,187.09, 1,637.99 and 714.95

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Solution

The fourth proportional to 1,187.09, 1,637.99 and 714.95 is: 986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.09 : 1,637.99 = 714.95 : x
  2. Step 2: Convert to fraction form
    1,187.09/1,637.99 = 714.95/x
  3. Step 3: Cross multiply
    1,187.09x = 1,637.99 × 714.95
  4. Step 4: Simplify right side
    1,187.09x = 1,171,072.76
  5. Step 5: Solve for x
    x = 1,171,072.76/1,187.09
  6. Step 6: Final answer
    x = 986.51

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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.