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Finding the Fourth Proportional to 1,331.95, 1,998.49 and 714.93

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Solution

The fourth proportional to 1,331.95, 1,998.49 and 714.93 is: 1,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.95 : 1,998.49 = 714.93 : x
  2. Step 2: Convert to fraction form
    1,331.95/1,998.49 = 714.93/x
  3. Step 3: Cross multiply
    1,331.95x = 1,998.49 × 714.93
  4. Step 4: Simplify right side
    1,331.95x = 1,428,783.58
  5. Step 5: Solve for x
    x = 1,428,783.58/1,331.95
  6. Step 6: Final answer
    x = 1,072.70

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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.