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Finding the Fourth Proportional to 799.70, 1,193.75 and 702.50

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Solution

The fourth proportional to 799.70, 1,193.75 and 702.50 is: 1,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.70 : 1,193.75 = 702.50 : x
  2. Step 2: Convert to fraction form
    799.70/1,193.75 = 702.50/x
  3. Step 3: Cross multiply
    799.70x = 1,193.75 × 702.50
  4. Step 4: Simplify right side
    799.70x = 838,609.38
  5. Step 5: Solve for x
    x = 838,609.38/799.70
  6. Step 6: Final answer
    x = 1,048.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.