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Finding the Fourth Proportional to 1,123.70, 1,681.95 and 799.70

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Solution

The fourth proportional to 1,123.70, 1,681.95 and 799.70 is: 1,196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.70 : 1,681.95 = 799.70 : x
  2. Step 2: Convert to fraction form
    1,123.70/1,681.95 = 799.70/x
  3. Step 3: Cross multiply
    1,123.70x = 1,681.95 × 799.70
  4. Step 4: Simplify right side
    1,123.70x = 1,345,055.42
  5. Step 5: Solve for x
    x = 1,345,055.42/1,123.70
  6. Step 6: Final answer
    x = 1,196.99

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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.