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Finding the Fourth Proportional to 1,234.02, 1,702.94 and 710

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Solution

The fourth proportional to 1,234.02, 1,702.94 and 710 is: 979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.02 : 1,702.94 = 710 : x
  2. Step 2: Convert to fraction form
    1,234.02/1,702.94 = 710/x
  3. Step 3: Cross multiply
    1,234.02x = 1,702.94 × 710
  4. Step 4: Simplify right side
    1,234.02x = 1,209,087.40
  5. Step 5: Solve for x
    x = 1,209,087.40/1,234.02
  6. Step 6: Final answer
    x = 979.80

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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.