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Finding the Fourth Proportional to 1,233.67, 1,702.30 and 702.62

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Solution

The fourth proportional to 1,233.67, 1,702.30 and 702.62 is: 969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.67 : 1,702.30 = 702.62 : x
  2. Step 2: Convert to fraction form
    1,233.67/1,702.30 = 702.62/x
  3. Step 3: Cross multiply
    1,233.67x = 1,702.30 × 702.62
  4. Step 4: Simplify right side
    1,233.67x = 1,196,061.51
  5. Step 5: Solve for x
    x = 1,196,061.51/1,233.67
  6. Step 6: Final answer
    x = 969.52

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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.