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Finding the Fourth Proportional to 1,233.96, 1,702.89 and 710.03

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Solution

The fourth proportional to 1,233.96, 1,702.89 and 710.03 is: 979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.96 : 1,702.89 = 710.03 : x
  2. Step 2: Convert to fraction form
    1,233.96/1,702.89 = 710.03/x
  3. Step 3: Cross multiply
    1,233.96x = 1,702.89 × 710.03
  4. Step 4: Simplify right side
    1,233.96x = 1,209,094.47
  5. Step 5: Solve for x
    x = 1,209,094.47/1,233.96
  6. Step 6: Final answer
    x = 979.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.