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Finding the Fourth Proportional to 1,570.33, 2,353.67 and 702.82

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Solution

The fourth proportional to 1,570.33, 2,353.67 and 702.82 is: 1,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.33 : 2,353.67 = 702.82 : x
  2. Step 2: Convert to fraction form
    1,570.33/2,353.67 = 702.82/x
  3. Step 3: Cross multiply
    1,570.33x = 2,353.67 × 702.82
  4. Step 4: Simplify right side
    1,570.33x = 1,654,202.84
  5. Step 5: Solve for x
    x = 1,654,202.84/1,570.33
  6. Step 6: Final answer
    x = 1,053.41

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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.